Question

Alan will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $55 and costs an additional $0.50 per mile driven. The second plan has no initial fee but costs $0.70 per mile driven. How many miles would Alan need to drive for the two plans to cost the same?

Answer 1

275 miles

Explanation:

You can express the cost of each plan as follows:

Plan 1: 55+0.50x

Plan 2: 0.70x

x is the amount of miles driven

As you need to find the amount of miles where the two plans cost the same, you can equate them and solve for x:

55+0.50x= 0.70x

55= 0.70x-0.50x

55= 0.2x

x= 55/0.2

x= 275

Alan needs to drive 175 miles for the two plans to cost the same.

Answer 2

275 miles

Explanation:

Let x be the number of miles Alan has to drive to get the same cost for tha two plans.

1 plan: total cost

`55+0.50x`

2 plan: total cost

`0.7x`

Equate them:

`55+0.5x=0.7x\\ \\55=0.2x\\ \\550=2x\\ \\x=275`