Blake must choose between two job offer. Evergreen Landscape will pay him $9.75 hours to mow lawns, but its is a long way from his house. He would probably spend $25 per week on gas. Just Jean will pay Blake $6.50 per hour to work as a retail clerk. Since the store is very close to his house, he would probably only spend $5 per week on gas. let x be the number of hours that Blake will work in a week and y be the amount of money he will have end of the week if he does not spend any money expect on gas.
a. Explain how the following two rules reflect the two jobs offer that Blake has.
B. Solve the system of equations in part A. (9.75x - 25 = 6.50x -5) indicates what its tell you about blake job offers and the amount of money he will have at the end of the week.
C. blake plan to work at least 15 hours per week. Which job should he take.

Answer:

A. The explanation of the rules are;

For the job offer for the Evergreen Landscape, Blake will have 9.75 times by the number of hours worked less the $25 for gas at the end of the week

For the job offer for the Just Jean, Blake will have 6.50 multiplied by the number of hours worked less the $5 for gas at the end of the week

B. The solution to the equations is that the number of hours Blake will work to have the same amount in both Jobs is 6.1538 hours

C. Blake should take the Job at Evergreen Landscape

Step-by-step explanation:

The amount Evergreen Landscape will pay Blake to mow lawn = $9.75

The amount Blake would spend to work per week on gas for work at Evergreen Landscape = $25

The amount Just Jean will pay Blake to work per week as a retail clerk = $6.50

The amount Blake would spend to work per week on gas for work at Just Jean = $5

Whereby, x = The number of hours that Blake will work in a week

y = The amount of money he will have end of the week, if he does not spend any money except gas

A. The given rules are;

y = 9.75·x - 25

y = 6.50·x - 5

For the job offer for the Evergreen Landscape, we have;

y = 9.75·x - 25

Blake has to put aside $25 out of his weekly earnings for gas

Blake will have 9.75 multiplied by the number of hours worked less the $25 for gas

For the job offer for the Just Jean, we have;

y = 6.50·x - 5

Blake will have 6.50 multiplied by the number of hours worked less the $5 for gas

B. The common solution of the both equations is given by equating both values of y as follows;

9.75·x - 25 = 6.50·x - 5

9.75·x - 6.50·x = 25 - 5

3.25·x = 20

x = 20/3.25 = 6.15385

x = 6.15385

The number of hours Blake will work to have the same amount in both Jobs = 6.1538 hours

C. Given that the number of hours Blake can work each week = 15 hours, we have;

For the job offer for the Evergreen Landscape, we have;

y = 9.75 × 15 - 25 = 121.25

The amount of money he will have end of the week = y = $121.5

y = 6.50 × 15 - 5 = 92.5

The amount of money he will have end of the week = y = $92.5

Therefore, given that by working 15 hours a week, Blake earns $121.5 on the Evergreen Landscape job and $92.5 on the Just Jean job, Blake should take the Job at Evergreen Landscape.

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