Ravi will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $59.96 and costs an additional $0.14 per mile driven. The second plan has an initial fee of $69.96 and costs an additional $0.10 per mile driven. How many miles would Ravi need to drive for the two plans to cost the same?

Ravi would drive 250 miles for both plans to cost the same.

Step-by-step explanation:

Let x represent the number of miles for which Ravi needs to drive for the two plans to cost the same.

The first plan has an initial fee of $59.96 and costs an additional $0.14 per mile driven. It means that the cost of driving x miles with this plan is

0.14x + 59.96

The second plan has an initial fee of $69.96 and costs an additional $0.10 per mile driven. It means that the cost of driving x miles with this plan is

0.1x + 69.96

For both plans tho be the same, the number of miles would be

0.14x + 59.96 = 0.1x + 69.96

0.14x - 0.1x = 69.69 - 59.69

0.04x = 10

x = 10/0.04

x = 250

a 10 percent increase

the answer to the question is a  

it has the same slope and the same y-intercept.