Question

Madison Delivers sandwiches for Jakes deli. She is paid an hourly rate plus a standard amount to cover expenses. In one week, she worked 10 hours and was paid $120. Another week she worked 8 hours and was paid $100. Which equation represents Madison's pay for working x hours

A. y= 20x + 10

B y= 12x+4

C. y=10x+20

D. y= 8x+10

Note- please explain how you got the anwser

Answer 1

C. y=10x+20

Explanation:

Madison worked 2 more hours the first week than the second week, and was paid $20 more. Thus, her hourly pay must be $20/2 = $10.

The only equation that multiplies hours by 10 is that of selection C.

_____

Check

Filling in x=10, we get y=120, corresponding to Madison's first week's pay.

Filling in x=8, we get y=100, corresponding to Madison's second week's pay.

The equation we chose (y=10x+20) represents Madison's pay for working x hours.