Question

Debra will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $50 and costs anadditional $0.15 per mile driven. The second plan has an initial fee of $59 and costs an additional $0.11 per mile driven.for what amount of driving do the two plans cost the same? i need the answer for miles and cost

Answer 1

First plan cost is modeled as:

50 + 0.15x

where x are the miles driven

Second plan cost is modeled as:

59 + 0.11x

If the two plans cost the same, then:

50 + 0.15x = 59 + 0.11x

0.15x - 0.11x = 59 - 50

0.04x = 9

x = 9/0.04

x = 225 miles

which corresponds to a cost of:

50 + 0.15*225 = $83.75