Question

Nathan has a $75
budget to rent a car for a day. The daily rental charge is $29.50
and then he will also have to pay $0.55
per mile. How many miles can he drive the car without exceeding his budget? (All partial miles are counted as full miles.)

Answer 1

Let m be the whole miles charged. We need 29.50 + 0.55m ≤ 75.
0.55m ≤ 75 − 29.50 = 45.50
m ≤ 45.50 ÷ 0.55 = 82.727...

Since partial miles are charged as full miles, m must be an integer ≤ 82. So Nathan can drive 82 miles.