Carlos will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $51 and costs an additional $0.08 per mile driven. The second plan has an initial fee of $46 and costs an additional $0.12 per mile driven.

Question:

Carlos will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $51 and costs an additional $0.08 per mile driven. The second plan has an initial fee of $46 and costs an additional $0.12 per mile driven.

For what amount of driving do the plans cost the same?

Carlos needs to drive 125 miles for two plans to cost the same

Solution:

Let "x" be the number of miles driven

The first plan has an initial fee of $51 and costs an additional $0.08 per mile driven

Therefore,

First plan cost = 51 + 0.08(number of miles)

First plan cost = 51 + 0.08x eqn 1

The second plan has an initial fee of $46 and costs an additional $0.12 per mile driven

Therefore,

Second plan cost = 46 + 0.12(number of miles)

Second plan cost = 46 + 0.12x eqn 2

For what amount of driving do the plans cost the same?

Eqn 1 = eqn 2

51 + 0.08x = 46 + 0.12x

0.12x - 0.08x = 51 - 46

0.04x = 5

Divide both sides by 0.04

x = 125

Therefore, Carlos needs to drive 125 miles for two plans to cost the same

damm bro the struggle

step-by-step explanation: