Question

Creating a One-Variable Equation to Model and Solve a Problem

Stefan's family rented a rototiller to prepare an area in their backyard for spring planting. The rental company

charged an initial fee of $43 with an additional fee per hour. If they paid $64 after renting the rototiller for 7 hours,

what was the hourly fee?

If h represents the hourly fee, which equation models this problem?

What was the hourly fee for the rototiller?

Answer 1

The hourly fee for rototiller is $3 per hour.

Explanation:

We are given the following in the equation:

The rental company charged an initial fee of $43 with an additional fee per hour.

Let h represents the hourly fee.

The family paid $64 after renting the rototiller for 7 hours.

Thus, we can write the equation:

`43 + 7h = 64`

Solving the equation, we get,

`43 + 7h = 64\\7h = 64-43\\7h = 21\\\Rightarrow h = 3`

Thus, the hourly fee is $3 per hour.

Equation:

`C(x) = 43 + 3x`

where C(x) is the cost function and x is the number of hours rototiller is rented.

The hourly fee for rototiller is $3 per hour.