Question

Uhaul charges an initial fee of $34.10 and then $0.75 per mile to rent a 15-foot truck for a day.if the total bill is $94.85,how many miles were driven ? Assume m miles were driven.write an equation to model this scenario

Answer 1

Let be "m" the number of miles that were driven.

According to the information given in the exercise, they charge $0.75 per mile to rent a 15-foot truck for a day. Then, you can set up the following expression to represent the cost to drive the truck "m" miles:

$0.75m$

The initial fee is $34.10. Since this is a fixed price, you can set up the following expression to represent the total cost:

$34.10+0.75m$

Knowing that the total bill is $94.85, you can set up the following equation to represent this situation:

$34.10+0.75m=94.85$

Then, to find the number of miles driven, you need to solve for "m":

$\begin{gathered} 0.75m=94.85-34.10 \\ \\ m=\frac{60.75}{0.75} \\ \\ m=81 \end{gathered}$

Therefore, the answer is:

- Equation:

$34.10+0.75m=94.85$

- 81 miles were driven.