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 miles
B 149 miles
C 150 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 find the point at which the cost for both companies is equal.
For Company A:
Cost = (0.25 per mile * miles driven) + $50 rental fee
For Company B:
Cost = (0.45 per mile * miles driven) + $20 rental fee
Setting these two equations equal to each other, we get:
0.25*m + 50 = 0.45*m + 20
Simplifying and solving for m, we find:
0.2*m = 30
m = 150
Joseph can drive up to 150 miles for Company B to be a better buy.
Therefore, the correct answer is C) 150 miles.