Question

Tony will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $38 and costs an additional $0.13 per mile driven

The second plan has an initial fee of $49 and costs an additional $0.09 per mile driven

for what amount of driving do the two plans cost the

What to the cout when the two plans cout the same?

Answer 1

He need to cover 275 miles for same cost for both plans

Explanation:

Let x be the no. of miles

Case 1 :

Initial fee = $38

Additional cost of 1 mile = 0.13

Additional cost of x miles = 0.13x

So, total cost = 38+0.13x

Case 2 :

Initial fee = $49

Additional cost of 1 mile = 0.09

Additional cost of x miles = 0.09x

So, total cost = 49+0.09x

Now we are supposed to find amount of driving do the two plans cost the same

So, 38+0.13x=49+0.09x

0.13x-0.09x=49-38

0.04x=11

`x=(11)/(0.04)`

x=275

Hence he need to cover 275 miles for same cost for both plans