Question

You compare prices of limousines for the spring dance. Company A charges a $250 fee plus $130 for each hour you use the limo. For a similar limo, Company B charges a $125 fee plus $155 for each hour. After how many hours of use will Company B cost more than Company A?

Answer 1

5 hours! A will be $900 and B is $1055

Answer 2

5 hours

Explanation:

Let h be the amount of hours that the limo is hired, we must determine the hours of use will company B cost more than company A. We have an inequality expression in terms of total cost for company A and B:

On the left side we have company A total cost and on the right side we have company B total price:

`250+130\cdot(h)<125+155\cdot(h)`

We can solve for h:

`25\cdot(h)>125/25`

`h>5`

After 5 hours company B will cost more than company A