Joseph is going on a trip and he needs to rent a car. He looks online and finds two companies that offer different pricing options for car rentals. Company A charges $0.25 per mile plus a $50 rental fee. Company B charges $0.45 per mile plus a $20 rental fee.
What is the maximum number of miles that Joseph can drive in order for Company B to be a better buy? The company charges only for whole number mileage (not fractional increments of miles driven).
Responses
A 125 miles125 miles
B 149 miles149 miles
C 150 miles150 miles
D 151 miles
To determine the maximum number of miles that Joseph can drive for Company B to be a better buy, we need to compare the costs of each company for different mileage amounts.
For Company A, the cost can be calculated using the equation: Cost = (0.25 * miles) + 50
For Company B, the cost can be calculated using the equation: Cost = (0.45 * miles) + 20
We want to find the point at which the cost for Company B is equal to or less than the cost for Company A. Let's set up the equation:
(0.45 * miles) + 20 <= (0.25 * miles) + 50
Simplifying the equation:
0.45 * miles - 0.25 * miles <= 50 - 20
0.20 * miles <= 30
Dividing both sides of the equation by 0.20:
miles <= 150
Therefore, the maximum number of miles Joseph can drive for Company B to be a better buy is 150 miles. So the answer is C) 150 miles.