Knowing the charge per day and per mile driven of a rental car company, we want to see if Nathan has enough money to travel. We will see that Nathan has enough money to rent the car for two days and travel the 400 miles he plans to.
Now let's see how to solve the problem.
We know that the rental company charges $61 per day plus $0.12 per mile driven.
Assuming that Natan will only rent the car for one day, if he drives for x miles the total cost is:
C(x) = $61 + $0.12*x
Now, we know that Natan wants to drive 400 miles ( in total) and he can spend, at most, $170
So let's see if he can do it, we just evaluate the cost equation in x = 400
C(400) = $61 + $0.12*400 = $109
This even means that he could rent the car for another day, because adding $61 the cost becomes:
$109 + $61 = $170
If you want to learn more, you can read:
https://brainly.com/question/11897796
