Question

A rental car agency rents cars for $32 per day. They also charge $0.15 per mile driven. If you are taking a 5-day trip and have budgeted $250 for the rental car, what is the maximum number of miles you can drive and stay within your budget? Write, solve, and graph an inequality that represents this situation.

Answer 1

So the equation is 32x+0.15y = $250
You know that you’re going to a 5-day trip so you can change x to 5
32(5)+0.15y = $250
You multiply 32 by 5 = 160
$160+0.15y = $250
And to simplify the equation(to make it easier) you subtract 160 on both sides
0.15y = $90
Now you’re trying to find y, so divide 90 by 0.15 to find the maximum of miles you can drive.
y = 600 mi
The maximum amount of miles you can drive is 600

Graph:
I can’t show any pictures sorry
But this is how you do it
Make a number line
Graph 600 with a closed circle, like this: ●
Then make an line going to the left(because you can’t go any more than 600)

Hope this helps! :^)