Free Essay

Math Task 5

In: Business and Management

Submitted By katgirl18
Words 464
Pages 2
Part A

Olivia will soon be going to college. She is looking to secure a hard copy of the required book for her math class. Rent A Book offers weekly rental rates at 5 dollars a week as well as a purchase option for a flat rate of 75 dollars. There is also a processing fee of 10 dollars per order. If Olivia's class is 2 months long, which option best meets her needs and would be the cheapest option?
*One month = 4 weeks

Part B

Option A = Rent textbook at $5 week plus $10 processing fee
Option B = Purchase textbook at flat rate of $75 plus $10 processing fee

Option A equation: y = 5x + 10
Option B equation: y = 75 + 10

Y = Total cost
X = Number of weeks

Since we need to solve for total cost, based on the number of weeks and how the company charges in this situation, we will let Y = the total cost to Alexis Livia and X represent the number of weeks needed. This will allow us to solve for the cost at any given number of weeks.

In order to determine when the two options would be equivalent, we will use the substitution method.

y = 5x +10 and y = 75 + 10 becomes 5x + 10 = 75 + 10

5x + 10 = 75 + 10
5x + 10 (-10) = 75 + 10 (-10) Isolate x by subtracting 10 from both sides
5x/5 = 75/5 Divide each side by 5 to solve for x x = 15

Therefore it would be 15 weeks when it would cost the same amount of money to either rent the text book per week or purchase the text book at a flat rate.

Since we have solved for x above (number of weeks), in order to determine the ordered pair, we solve the equation which contains x, substituting for x.

y = 5x +10 15 is substituted for x in the equation y = 5(15) + 10 Multiply y = 75 + 10 Add y = 85
Ordered Pair is (15, 85)

Part C

Please see graph in separate file

Part D

Olivia only needs the text book for 2 months or 8 weeks. Using the mathematical equation above to figure out the price for 8 weeks, she would spend a total of $50.00 on a rental vs paying $85.00 for the purchase of the book.

In the future, any time she has a class that last 16 weeks or longer, it will be advantageous to use the purchase option versus the weekly rental option. Any other time when a class is less than 15 weeks, she will want to use the rental option to save money on her text books.

Based on this information, Olivia should rent the text book required for her upcoming class in order to save money.…...

Similar Documents

Premium Essay

Lat1 Task 5

...LAT1 Task 5 Final 8-2-11 Paul D Burns Western Governors University Unemployment is a Serious Social Issue Unemployment is the condition and extent of individuals out of work within an economy, measured by the “official” unemployment rate (U-5). This measure is the number of unemployed workers divided by the total civilian labor force. As of June the “official” unemployment rate stands at 9.2%. What is rarely reported, and even more ominous, is the underemployment rate. This rate includes two groups that are not considered in the official unemployment rate: discouraged and part-time workers (U.S. Congress, 1986, p. 12). As of June 2011 the U-6 rate stands at 16.2%. There is evidence that underemployment is pervasive in the United States. Some types can be measured more easily than others but it is apparent that many Americans are underemployed (Meyer, 1985, p.20) and because that figure is rarely ever spoken about, the costs, hardships and extent of unemployment are not fully reported or understood (U.S. Congress, 1986, p. 12). Recent studies suggest that unemployment has become a serious social issue in the United States due to the under-reported unemployment rate, the increase in financial hardship to American families, and the policies of government. Body When we do not include individuals who are discouraged, or those working part-time in the “official” unemployment rate, we are underreporting the true extent of unemployment, and creating various socioeconomic......

Words: 2263 - Pages: 10

Free Essay

Qat1 Task 5

...QAT1 Task 5 Revised Task A. Develop New Product 1.) Develop Thoroughly= $210,200 2.) Develop Rapidly= $55,700 Consolidate Existing Product 3.) Strengthen Products= $64,900 4.) Reap Without Investing= $6,400 Task B. The decision alternative is to develop new products thoroughly, or decision alternative 1, with the expected value (EV) of $210, 200. 1. Decision alternative 1 has the highest expected value ($210,200) of all four branches, thus making it the most favorable decision. To find expected values for each decision alternative, first you multiply the Predicted Gains (or, Payoffs) by the Probability for each States of Nature (in this case, Market Reactions: Good, Moderate, and Poor). Then, you add the totals of each Market Reaction and that becomes the expected value for each decision alternative. The highest expected value from all the decisions is generally the most favorable decision. The following are the calculations for the expected values of each of the four decision alternatives: The formula is: EV= Predicted Gains(Probability) Decision alternative 1: Good: 500,000(.4) = 200,000 Moderate: 25,000(.4) = 10,000 Poor: 1,000(.2) = 200 Total: $210,200 Decision alternative 2: Good: 500,000(.1) = 50,000 Moderate: 25,000(.2) = 5,000 Poor: 1,000(.7) = 700 Total: $55,700 Decision alternative 3: Good: 200,000(.3) = 60,000 Moderate: 10,000(.4) = 4,000 Poor: 3,000(.3) = 900 Total: $64,900 ......

Words: 253 - Pages: 2

Free Essay

Qlt1 Task 5

...QLT1 Task 5 A. Create a story problem using one of the above real-world scenarios as a basis, including realistic numeric values, by doing the following: 1. Describe the real-world problem. I was looking into phone plans and stumbled upon T-Mobile, and I decided that I needed a cell-phone and took a look at the plans. T-mobile had one plan that was 50 dollars a month and is unlimited talk, text and web, T-Mobile also has a plan for 30 dollars a month for 1,500 talk and text minutes. After you go through your allotted 1,500 talk and text time was up, the cost skyrockets up to 10 cents a minute. 10 cents a minute comes out to 6.00 per hour, I thought in my head. I decided that instead of jumping into a decision about phone plans, that I should first go home and do the math. I wanted to figure out which plan was going to be the most cost effective, and which plan would suite my needs the best. 2. Explain all needs (e.g., financial, non-financial, situational) of the hypothetical consumer. The needs include many different factors: • The first and most important factor how much do you use your phone? The breaking point on the problem today is 200 talk or text above the 1500 minute plan and I will be paying less up front but more on the back end which is no good. If I chose the 1500 minute plan, I will not want to be going over the 1500 minutes as then the cost would go up to 10 cents a minute or 6.00 per hour. • Is this replacing a work or office phone? ......

Words: 1158 - Pages: 5

Premium Essay

Task 5

...TASK 5 Databases a) A database is a structured collection of records or data that is stored in a computer system. b) Databases are used by storing data so it can be quickly accessed, varied information could be kept about anything, from students to stock e.g. computers and equipment, you could use MS Access to make a Database, you can use queries to find things quickly. It would be best to create a database in MS access because things can be changed and added. For instance you could add a new field or put in some new data. It is also easy to use in MS Access because it sets it out as a table so it’s easy to edit and read. c) College could use this to keep records on all their students and teachers, they could have all personal details, like Phone numbers, address, and how well their doing in their course, it could keep track of all their absences. It could hold all information about people who are visiting the college, and when things are going to be organised like student days and open days. Internet a) The internet is a server where people can add web pages to show information; you need an internet connection to be able to access the internet. b) The internet is used for browsing web pages, I would use the internet for going on face book, but a business would use the internet for things like buying stock, or advertising there business to people, some business may also have their own website to advertise. A college may have a website to describe about all the......

Words: 757 - Pages: 4

Premium Essay

Qlt 1 Task 5

...Quantitative Literacy Quantitative Problem Solving QLT Task 5 January 20, 2013 Task A Misty is going to start college in the fall. Her father has agreed to pay her tuition and board but she must cover all other expenses, including supplies and books. Misty has been working a summer job to save money for these expenses and is hoping to be thrifty enough in her purchases to not have to work during her first semester of college. She is anticipating a large expense on books but is hoping to save some money on purchasing school supplies by looking at discount retailers instead of the college bookstore. Misty has found two companies, Company A and Company B, with some great back to school deals on school supplies. Company A is offering ten percent off each dollar spent on school supplies with no minimum purchase required. While that sounds like a great deal, Company B is offering twenty-five percent off all school supplies purchased after spending an initial one hundred dollars. While both options offer a great discount, Misty wants to determine which would save her the most money. Before moving any further, Misty must determine what her total bill for school supplies might be by identifying the items she will need to purchase and then totaling the final cost. Once that has been ascertained, she will need to calculate the possible savings on each plan to determine which one will be most cost effective. Task B In order to calculate the savings, Misty is......

Words: 774 - Pages: 4

Premium Essay

Qbt Task 5

...QBT Task 5 - WGU "Educational Budget Cuts" Educational budget cuts are becoming more prevalent. In turn, this is causing detrimental effects for students, teachers, parents and the community alike. A budget cut is when a school and/or district receives a certain budget that they must adhere to. They cannot go over this number. Budget cuts are becoming more strict and more money is needed to cut as times go on. Due to this happening, more important things are being cut and a lot more suffering is being seen. Due to educational budget cuts, students are feeling the brunt of it and the quality of their education is greatly suffering. The average student is in school for six hours a day, five days a week. This comes out to about twenty-four hours of instruction, after factoring in things such as lunch, breaks, taking attendance and waiting for the class to settle down. The students need every minute of education they can get in this short amount of time. They need to make sure they are getting quality education in a very short amount of time. The first issue students are facing is having outdated materials. Having current materials is essential to make sure they are being adequately taught. Students need to know what is going on today as well as what went on in the past. “Many teachers only have outdated textbooks to give their students. It’s not unusual for a teacher to have a social studies textbook that is 10-15 years old. In American History, this would mean that......

Words: 2707 - Pages: 11

Free Essay

Fht4 Task 5

...In order to facilitate a cooperative learning activity on “Saltwater Marshes” the Jigsaw method will be used. There are ten steps to the Jigsaw method: 1. Divide class into diverse groups of five to six students 2. Choose a leader for each group 3. Divide the lesson into five to six segments 4. Give each group member their own segment to learn 5. Students are given time to read over their segment at least two times 6. Create provisional groups, that members from the Jigsaw groups with the same segment will come together to collaborate and practice what will be told to their jigsaw group 7. Have the segment groups return to their Jigsaw group 8. Have the students present their segment to their group and promote group questions and discussion of each other 9. Observe each group and regulate student behavior and participation, but the group leader should take this role 10. At the conclusion of the task give a quiz on the material covered in the groups, so students know it is a learning time not a socializing group time (Aronson, 2000.) Choosing students of different genders, academic ability, and race to form the jigsaw groups will create groups of five members for the “Saltwater Marsh” lesson. Next the student in each group who is the most responsible and mature will be chosen as the group leader. The “Saltwater Marsh” lesson will be divided up into the following segments: tidal changes, plant, 2 different animal segments and a......

Words: 628 - Pages: 3

Premium Essay

Wgu Qlt1 Task 5

...Task 5 A. Jenny is looking for the best option for daycare for her son. She lives in a small town, so her options are limited to two daycare centers. Option A is a home-based facility which charges $9.00 per hour that the child is at the home. Option B is a center-based facility which charges $150 for the first 20 hours and then charges $10 per hour thereafter. Due to a new promotion, Jenny will be required to work more hours away from home. Which facility will cost less for Jenny to have her son in daycare for a work week (40 hours)? B. I. h = how many hours of child care is needed = 40 f = the flat hourly rate charge t = total amount due for the week Option A: f * h = t a. 9 * 40 = $360 Option B: 150 + f(h-20) = t, for h >=20 b. 150 + 10(40-20) = $350 150 = t, for h < 20 c. 150 = total II. I set the hours to "h", the hourly fee to "f" and the total to "t". a. Option A: This option only has an hourly fee for each hour. The fee is $9 and the amount of hours is 40 so I multiplied the hours by the fee. b. Option B: This option has a flat rate of $150 for the first 20 hours and then an hourly rate of $10 thereafter. For the first equation that refers to over 20 hours, I subtracted 20 hours from the total time, multiplied it by $10, and then added it to $150. For the second equation that refers to any amount less than 20 hours, the total is always......

Words: 531 - Pages: 3

Premium Essay

Qlt1 Task 5

...Task 5 Moving Truck Cost Analysis The Thompsons have lived in Canada all their life but recently Mr. Thompson got a job offer he could not refuse. The new job will require they move to the west coast of the United States. This is going to require they move across the country from New Brunswick, Canada to Seattle, WA. Which is a total of 3200 miles. Although the company Mr. Thompson will be working for will reimburse them for the move, they still have a budget they need to stay under so they can have enough money for hotel stays, stocking the house with food, cleaning supplies etc. when they arrive. They are planning on leaving early and site seeing on the way but still arrive at least two weeks early so they have time to settle in. Arriving early though means there will be a big gap between paychecks so budgeting is very important. They narrowed it down to two companies, Acme Moving which charges $2.00 per mile and Lightening Moving that charges $1500 for the first thousand miles and $2.25 for each mile over 1000. They have to analyze the costs and figure out which one is going to be the best deal. The Equation: Lightening Moving Co. Lightening Moving charges $1500 for the first 1000 miles and then $2.25 for each mile over 1000. Let X = Amount of miles traveled 1500 = the initial cost of the first 1000 miles 3,200 = the total amount of miles traveled $2.25 per mile over 1000 miles therefore; 1500 + 2.25(X-1000) = Cost of moving over 1000 miles 1500 + 2...

Words: 550 - Pages: 3

Premium Essay

Qat1 Task 5

...Analysis for Business (QAT1) Submitted 05/05/2015 Assignment 309.3.3-04 Version LMF5-28 Student: Richard McClanahan Student ID: 000343792 TASK #5 Answer Task 5A Calculate the expected value for EACH of the four decision branches. 1. Develop Thoroughly: GOOD) $500,000 (0.45) = $225,000 MOD.) $25,000 (0.10) = $2,500 POOR) $1,000 (0.45) = $450 TOTAL EXPECTED VALUE: $227,950 2. Develop Rapidly: GOOD) $500,000 (0.52) = $260,000 MOD) $25,000 (0.23) =$5,700 POOR) $1,000 (0.25) =$250 TOTAL EXPECTED VALUE: $265,950 3. Strengthen Products GOOD) $2,000 (0.33) = $660 MOD) $10,000 (0.52) = $5,200 POOR) $3,000 (0.15) = $450 TOTAL EXPECTED VALUE: $6,310 4. Reap without investing GOOD) $10,000 (0.33) = $3,300 POOR) $1,000 (0.67) = $670 TOTAL EXPECTED VALUE: $3,970 EXPLINATION: We take the projected payoff and multiply that payoff by the probability factor. So if the good payoff to develop a product rapidly is $500,000, we then multiply that by the probability factor of 52%, or 0.52. That gives us a probable payoff of $260,000. Following this simply process, we extrapolate these results as listed above. ANSWER TASK 5B After calculating the total expected value for each decision alternative, the most profitable decision would be to RAPIDLY DEVELOP new products for a probable payoff......

Words: 364 - Pages: 2

Free Essay

Task 5 Biochemistry

...1                        Task 5 Biochemistry   June 7, 2015                                  2  Energy can be stored as fat in the liver or in adipose tissue. We also get fatty acids from our  diets. Fat is stored in the form of a Triglyceride (TG) or as a Triacylglycerol (TAG) which is  made up of a glycerol molecule, a carboxyl group and three fatty chains attached together.  Through a process called Beta oxidation, the TAG or TG molecule has its bonds broken and the  glycerol separates from the three fatty chains. The chains are broken down into two carbon  fragments. Those fragments become Acetyl CoA. Electrons and hydrogen are released from the  fatty acid during Beta oxidation and carried by NADH and FADH2 to the Electron Transport  Chain (ETC). Acetyl CoA enters the Citric Acid Cycle (CAC). While in the CAC, more  electrons and hydrogens are released and are carried by NADH and FADH2 to the ETC. After  the completing the CAC, a lot of NADH and FADH2 have been made and this enters the ETC  where they are made into ADP and Pi which through the process of oxidative phosphorylation  becomes ATP.    (O’Malley, M., 2014)    A saturated fatty acid is made up of a chain of carbons saturated with a maximum number of  hydrogens and a carboxylic acid. The carboxylic acid end of the chain is made up of a carbon  double bonded with an oxygen molecule. The carboxylic end is hydrophilic and the tail that is  saturated with hydro......

Words: 928 - Pages: 4

Premium Essay

Biochem Task 5

...Biochemistry Task 5 Julie Rhonemus 000484390 July 29, 2015 Fat and Energy Production Fat molecules, known as triglycerides, are stored in adipose tissue in the body. Triglycerides are made up of glycerol and three fatty acid molecules. During beta oxidation the triglycerides are broken down into small units consisting of two carbon atoms and they are generated into acetyl CoA. NADH and FADH2 are created during beta oxidation and funneled into the electron transport chain. The acetyl CoA enters the citric acid cycle where NADH and FADH2 are also made and transported to the electron transport chain. The NADH and FADH2 from beta oxidation and the citric acid cycle are used to make ATP which is used for energy in the body’s cells. (O’Malley, 2014) Comparison of Fatty Acid Structures There are two types of fatty acids, saturated fatty acids and unsaturated fatty acids. Saturated fatty acids have a long carbon-hydrogen tail that forms a zigzag configuration. This zigzag configuration helps the saturated fatty acids fit together and that is why they are solid at room temperatures. Most saturated fatty acids come from animals, like butter and lard, but coconut oil is also a saturated fatty acid that is plant based. Unlike saturated fatty acids, unsaturated fatty acids do not have the long carbon-hydrogen tail. Instead the unsaturated fatty acid has a double bonded carbon somewhere along the chain that causes the......

Words: 762 - Pages: 4

Free Essay

Biochemistry Task 5 Lipids

...Biochemistry Task 5 Lipids A. Adipose tissue stores fat in the body. The fat storage molecule is called a triglyceride. Triglycerides are composed of a glycerol attached to three fatty acids. In order to use a triglyceride for energy, the fatty acids are broken away from the glycerol. These fatty acids are considered free fatty acids. Free fatty acids are broken down, two carbons at a time by beta oxidation. Each two carbon unit becomes Acetyl CoA, which then enters the citric acid cycle. Also, during beta oxidation there are electrons and hydrogens that are removed from fatty acid. They are carried by NADH and FADH2 to the electron transport chain. They are used to form ATP from ADP and a phosphate. B. There are two types of fatty acids, saturated fatty acid and unsaturated fatty acid. Saturated fatty acids are saturated with hydrogen, meaning all the carbons in the chain are filled with hydrogen. Saturated fatty acid chains all look similar which makes it easy for them to build on one another. The force that holds them together is known as hydrophobic interactions. This allows fatty acids to be solid at room temperature. Saturated fatty acids are mainly from animal food sources. Unsaturated fatty acids will not be saturated with hydrogen, instead there is a double bond that lessens the amount of hydrogen in a chain. This double bond bends the tail and the structure becomes irregular. This irregularity doesn’t allow them to stack well, therefore unsaturated fatty......

Words: 536 - Pages: 3

Free Essay

C624 Task 5

...Biochemistry Task 5 Brooke Storms ID #  000531395 January 24th, 2016 Triglycerides are made up of three fatty acids and one glyceride. The oxidation of these leads to ATP production, which will be explained in the following paragraphs. There are three main sources of fatty acids, the adipose tissue, the liver (in the form of VDL), and from the intestine (the food we eat). From these sources, it enters the blood stream and is distributed to the tissues. Once in the tissue, β Oxidation occurs. The long chain of fatty acid has a carboxylic group at one end. It is first broken down into two carbon subunits and then it generates Acetyl Co-A, which can then enter the Citric Acid Cycle. The electrons and the hydrogen are removed and carried by NADH and FADH2 to the Electron Transport Chain (O’Malley, 2014). The Citric Acid Cycle is also at work creating NADH and FADH2. The electrons and hydrogens released during this process from both β Oxidation and the Citric Acid Cycle move on to the Electron Transport Chain. Within this, the hydrogens are moving from a negative to a positive pressure and H20 is created. As it passes through the Electron Transport Chain ADP + organic Phosphate combine to create ATP, the cell’s energy (O’Malley, 2014). A proton gradient is used to make ATP in the mitochondria during aerobic metabolism. The products of the Citric Acid Cycle, namely NADH and FADH2, are on the matrix side of the Electron Transport Chain. They each donate one electron to......

Words: 948 - Pages: 4

Free Essay

Biochemistry Task 5

...Biochemistry Task 5 March 6, 2016 A. Triglycerides are the main make up of body fat in animals and humans as well as vegetable fat. Triglycerides are made up of glycerol and three fatty acids. Fats or lipids as a whole are not bad for you as they are used for energy, always in moderation, but there are different types of fats that you do need. Your body utilizes saturated fat very fast as opposed to other fats that has to go through different stages to be used. Triglycerides in food are digested and are processed in the liver combining it with a protein and then travel through your blood stream to your cells where they are then used for energy. Glycerol enters into the pathway through the Pyruvate and then onto Acetyl-CoA where it enters the Cori-cycle. From there it is transported to the electron transport chain where the end product is ATP. ATP is the body’s energy. Through beta oxidation fatty acids enters the pathway through the Acetyl-CoA. From here it moves the Cori cycle where they are then broken down into sugars and transported to the electron transport chain where ATP is the end product. Low fat diets are dangerous in that they strip the body of the process of this breakdown. Reduces energy stops the breakdown of fat for use in the digestive system gallbladder and liver. With this reduction the decrease of bile also stops the production of CCK or Cholecystokinin which signals the pancreas to release bile to breakdown the lipids. Simply the product will be...

Words: 668 - Pages: 3

Lulu Zapadu | Camrip,Ts, Sinema Çekimi Filmler | Citroen ZX 1.9 TD 07/92 - 10/97 Pipercross Performance Round Air Filter Kit