You are choosing between two jobs. Job one pays $10 per hour for 32 hours per week. Job 2 pays $8 per hour plus a commission of 10% of your sales again based on 32 hours per week. At what amount of sales is your weekly pay the same at the two jobs? Let s be your amount of sales and let p be amount of pay. Use the table of values to solve the system.
A) at sales of $100
B) at sales of $300
C) at sales of $640
D) at sales of $700

Question

You are choosing between two jobs. Job one pays $10 per hour for 32 hours per week. Job 2 pays $8 per hour plus a commission of 10% of your sales again based on 32 hours per week. At what amount of sales is your weekly pay the same at the two jobs? Let s be your amount of sales and let p be amount of pay. Use the table of values to solve the system. 
A) at sales of $100 
B) at sales of $300 
C) at sales of $640 
D) at sales of $700

Quizplus · Accepted Answer

To find when the two jobs pay the same, we need to set the equations equal to each other and solve for s.

For job 1, the pay equation is:
p = 10(32) = 320

For job 2, the pay equation is:
p = 8(32) + 0.1s

Set the two equations equal to each other:
320 = 8(32) + 0.1s

Simplify and solve for s:
320 = 256 + 0.1s
64 = 0.1s
s = 640

Therefore, at $640 in sales, the pay for job 2 will be the same as job 1. None of the other choices equal this value, so the answer is C.

You Are Choosing Between Two Jobs