Question

Isabel will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $59 and costs an additional $0.12 per mile driven,
The second plan has an initial fee of $48 and costs an additional $0.16 per mile driven

Answer 1

Set up two formulae:

For Keisha 1st Plan:

$40 + n(0.16) [n = no. of miles driven.]

For Keisha's 2nd Plan:

$49 + n(0.11)

Make them equal one another:

$40 + n(0.16) = 49 + n(0.11)

Collect like terms:

n(0.16) - n(0.11) = 49 - 40

n(0.05) = 9

n = 9/0.05

n = 180

Therefore 180 has to be driven

before the plans cost the same.

The cost is $68.80