Question

Please help

Leila will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $40 and costs an additional $0.13 per mile driven. The second plan has an initial fee of $53 and costs an additional $0.08 per mile driven

Answer 1

9514 1404 393

Answer:

• 260 miles
• $73.80

Explanation:

The cost of each plan (y) is the sum of the initial fee and the product of the mileage charge and the number of miles (x).

First Plan: y = 40 +0.13x

Second Plan: y = 53 +0.08x

__

We can find when the costs are the same by solving this system of equations. A way to do that is to subtract the second equation from the first:

(y) -(y) = (40 +0.13x) -(53 +0.08x)

0 = -13 +0.05x

Multiplying by 20 gives ...

0 = -260 +x

Adding 260, we have ...

x = 260

The plans cost the same for 260 miles of driving.

__

The cost of the plans for that distance is ...

y = 40 +0.13x = 40 +0.13(260) = 40 +33.80

y = 73.80

The cost when the two plans cost the same is $73.80.