Question

A truck rental company charges 41 per day plus 24¢ for each mile over 100 miles. Find the cost of renting a truck for three days during which it is driven 150 miles. How far can you drive in three days and keep the cost under 150?

Answer 1

The cost of renting a truck for three days and driving 150 miles is $135. To keep the cost under $150 over three days, one can drive up to 212.5 miles without incurring additional charges.

Step-by-step explanation:

The question involves calculating cost based on a daily rental fee and a variable rate for mileage. For the truck driven for three days and 150 miles total:

1. Fixed cost for rental per day: $41
2. Miles driven over 100 miles: 150 - 100 = 50 miles
3. Charge per mile over 100 miles: $0.24
4. Total cost for extra miles: 50 miles x $0.24/mile = $12
5. Total rental cost: (3 days x $41/day) + $12 for extra miles = $123 + $12 = $135

To keep the cost under $150 for three days:

1. Maximum cost allowed for extra miles: $150 - (3 days x $41/day) = $27
2. Maximum extra miles that can be driven: $27 / $0.24/mile = 112.5 miles
3. Total possible miles without exceeding $150: 100 miles (inclusive) + 112.5 miles = 212.5 miles