Question

A car rental company offers two plans for renting a car:

Plan A: 30 dollars per day and 17 cents per mile
Plan B: 50 dollars per day with free unlimited mileage
For what range of miles will plan B save you money for a 1 day rental?

Answer 1

For a 1-day rental, Plan B will save you money if you drive more than 117 miles.

Step-by-step explanation:

Car Rental Plans:

Plan A: $30 per day + $0.17 per mile

Plan B: $50 per day with unlimited mileage

Saving Money:

To determine the range of miles where Plan B saves money, we need to compare the cost of both plans for a 1-day rental.

For Plan A, the cost would be $30 + $0.17 per mile.

For Plan B, the cost would be $50 with unlimited mileage.

For Plan B to save money, we need to find the point where the cost of Plan A exceeds the cost of Plan B. We can set up the inequality: $30 + $0.17x > $50, where x represents the number of miles.

Simplifying the inequality, we have $0.17x > $20, and dividing both sides by $0.17 gives us x > 117.65.

Therefore, for a 1-day rental, Plan B will save you money if you drive more than 117 miles.