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Question
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 when Company B is a better buy, we need 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 equations to represent the costs for each company:
Cost for Company A = 0.25 * x + 50
Cost for Company B = 0.45 * x + 20
Where x represents the number of miles driven.
To find the maximum number of miles Joseph can drive for Company B to be a better buy, we need to find the value of x where the cost for Company B is equal to or less than the cost for Company A.
0.45 * x + 20 <= 0.25 * x + 50
0.20 * x <= 30
x <= 150
Therefore, the maximum number of miles Joseph can drive for Company B to be a better buy is 150 miles.
Answer: C) 150 miles