Answer the question below

Question

Mike will rent a car for the weekend, She l can choose one of the two plans. The first plan has an initial fee of $40 and costs an additional $0.12 per mile driven. The second plan had an initial fee of $49 and costs an additional $0.10 per mile driven. What is the cost when the two plans cost the same?

Answer 1

Set the equations of both plans equal to one another and solve for m (miles):

40 + 0.12m = 49 + 0.1m

0.02m = 9

m = 450

Plug the number of miles into one of the equations to find the cost:

49 + 0.1(450) = 49 + 45 = 94

The plans have an equal cost of $94 at 450 miles.