Question

The company you work for requires you to use your own car while traveling to work. They will pay you $25 a day plus an additional $0.35 per mile. Let the distance driven be x miles and let the total cost for using your car for one day be y dollars. Which of the equations below represents how much your company would need to pay you for driving your own car?
A. y=0.35x+25
B. y=35x+25
C. y=25x+0.35
D. y=25x+35
E. y=25x+0.35x

Answer 1

Answer: Equation A represents how much your company would need to pay you for driving your own car.

Explanation: There are several keywords:

• “per mile”
• “a day”

In slope intercept form, the phrase “per mile” represents slope or rate of proportionality. This is shown in the equation where:

• The company will pay $25 a day
• The company will pay $0.35 per mile

Given this information, let’s set an equation up with our slope representing $0.35 per mile:

y = 0.35x + 25

25 shows the y-intercept because the company initially pays $25 a day for every day you drive your own car.

Final answer: Option A.) “y = 0.35x + 25” represents how much your company would need to pay you for driving your own car.