When would each truck drive charge the same amount?

Question

A company is hiring a truck driver to deliver the company's product. Truck driver A charges an initial fee of $50 plus $7 per mile. Truck driver B charges an initial fee of $175 plus $2 per mile. When would each truck drive charge the same amount?

Answer 1

Hi Ally;

 

Set up equations for each driver for cost as a function of number of miles

 

Driver A:  c(m) = 7m + 50

Driver B:  c(m) = 2m + 175

 

Set the two equations equal to each other and solve for m to find the number

of driven miles that would create an equal cost.

 

7m + 50 = 2m + 175

Solve for m