Question

A rental car company charges $70.23 per day to rent a car and $0.11 for every mile driven. Connor wants to rent a car, knowing that:

He plans to drive 300 miles.
He has at most $380 to spend.

What is the maximum number of days that Connor can rent the car while staying within his budget?

Answer 1

4 days

Explanation:

Let the number of days = x

The number of miles is a fixed 300 at $0.11/mile which cost $33.

The cost, y is:

y = 70.23x + 33

The most money he has to spend is $380.

70.23x + 33 = 380

70.23x = 347

x = 4.94

4.94 is just under 5 days, but we must round down to 4.

Check:

A 4-day rental with 300 miles costs:

y = 70.23 × 4 + 33

y = 313.92 which is under the $380 budget

A 5-day rental with 300 miles costs:

y = 70.23 × 5 + 33

y = 384.15 which over the $380 budget

Answer: 4 days