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?

x≤10

x≥10

x≥100

x≤100

Answer 1

The total charge of Richard’s Rental Car be no more than the total charge of Freddy’s Rental Car for x miles is
`x \geq 100`

Explanation:

Richard’s Rental Car rental fee = $55

Cost for 1 mile = $0.25

Cost for x miles = 0.25 x

So, total charge for Richard's rental car = 55+0.25x

Freddy’s Rental Car rental fee = $45

Cost for 1 mile = $0.35

Cost for x miles = 0.35 x

So, total charge for Richard's rental car = 45+0.35x

We are supposed to find . 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

So,
`55+0.25x \leq 45+0.35x55-45 \leq 0.35x -0.25x\\10 \leq 0.1x\\(10)/(0.1) \leq x\\100 \leq x`

So, Option C is true

Hence the total charge of Richard’s Rental Car be no more than the total charge of Freddy’s Rental Car for x miles is
`x \geq 100`