Question

Richard's Rental Car charges a $55 rental fee and $0.25 per mile. Freddy's Rental Car charges a

$45 rental fee and $0.35 per mile. For how many miles, X, will the total charge of Richard's
Rental Car be no more than the total charge of Freddy's Rental Car?
2 < 10
> 10
> 100
2 < 100​

Answer 1

Correct option: third one -> X > 100

Explanation:

The equation for the price of Richard's Rental Car is:

P1 = 55 + 0.25*X

The equation for the price of Freddy's Rental Car is:

P2 = 45 + 0.35*X

To find for how many miles will the total charge of Richard be less than Freddy, we have that P1 < P2, so:

55 + 0.25*X < 45 + 0.35*X

0.25*X - 0.35*X < 45 - 55

-0.1*X < -10

0.1*X > 10

X > 100

Correct option: third one