Kelko will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $57 and cost an additional $0.08 per mile driven. The second plan has an initial fee of $50 and costs and additional $0.10 per mile driven.

Questions (contd)

(a) For what amount of driving do the two plans cost the same?

(b) What is the cost when the two plans cost the same?

(a) 100 miles

(b) $65

Step-by-step explanation:

Given

Plan 1:

per mile

Plan 2:

per mile

Solving (a): Number of miles when both plans are equal

Represent the distance with x and the cost with y

So:

Plan 1:

Plan 2:

To solve (a), we equate both plans together; i.e.

Collect Like Terms

Solve for x

Hence, 100 mile would cost both plans the same

Solving (b): Cost when both plans are the same:

In this case, we simply substitute 100 for x in any of the y equation.

Hence, the amount is $65

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step-by-step explanation: