Question

A company charges $31.95 for the day and $0.35 per mile driven to rent a 10 foot moving truck (A) Let B be the cost of renting a 10 foot moving truck for a day and driving the truck M miles write an equation for the cost of renting this company B= (B) How much would it cost to rent a 10 foot truck from this company of you were to drive it 70 miles for the day (Round your awnser to the nearest cent include units in your awnser)C How many miles could you drive the truck for a day of you could pay only $150 for the rental (round your awnser to the nearest miles include units in your awnser

Answer 1

Given that the company charges $31.95 for the day and $0.35 per mile to rent a 10 foot truck.

(A) The aim is to find the cost of renting a 10 foot moving truck for a day.

Assume that m is the number of miles are driven and B is total cost.

`B=31.95+0.35m`

(B) The aim is to find the cost at 70 miles,

`\begin{gathered} B(70)=31.95+0.35(70) \\ B(70)=31.95+24.5 \\ B(70)=56.45(\text{Dollar)} \\ B(70)\approx56(Dollar) \end{gathered}`

(C) The aim is to find x if B is 150.

`\begin{gathered} B=31.95+0.35x \\ 150=31.95+0.35x \\ 0.35x=150-31.95 \\ 0.35x=118.05 \\ x=337.28 \\ x=337 \end{gathered}`