Question

A rental car company charges 23.95 per day to rent a car and $0.08 for every mile driven. Nathan wants to rent a car, knowing that:He plans to drive 400 miles.He has at most $440 to spend.Which inequality can be used to determine x, the maximum number of days Nathan can afford to rent for while staying within his budget?

Answer 1

Step-by-step explanation

The total charge on the car = (Charge based on number of days) + (Charge based on the number of miles)

Charge based on number of days = (23.95) (x) = (23.95x) dollars

Charge based on the number of miles = (0.08) (400) = 32 dollars

(The total charge on the car) ≤ 440

23.95x + 32 ≤ 440

23.95x + 32 - 32 ≤ 440 - 32

23.95x ≤ 408

Divide both sides by 23.95

(23.95x/23.95) ≤ (408/23.95)

x ≤ 17.04

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