stefans family rented a rototiller to prepare an area in their backyard for spring planting. the rental…

stefans 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?

stefans 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

Explanation:

Step1: Set up the equation

The total cost is the sum of the initial fee and the product of the hourly - fee and the number of hours. The initial fee is $43$, the number of hours is 7, and the hourly fee is $h$. The total cost is $64$. So the equation is $43 + 7h=64$.

Step2: Solve the equation for $h$

Subtract 43 from both sides of the equation: $7h=64 - 43$ $7h = 21$ Then divide both sides by 7: $h=\frac{21}{7}=3$

Answer:

The equation that models the problem is $43 + 7h = 64$, and the hourly fee is $3$.