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).

A) 125 miles
B) 149 miles
C) 150 miles
D) 151 miles

Respuesta :

Answer:

E.The price for travelling 150 miles is same for both company.

Step-by-step explanation:

We are given that Joseph is going on a trip and he needs to rent a car.

Company A

Charge $0.25  per mile plus  $50 rental fee.

Company B  charges 40.45 per mile plus $20 rental fee.

A.Total distance=150 miles

Company A

Charges for 150 miles=$37.5

Total charges=37.5+50=$87.5

Company B

Charges for 150 miles==$67.5

Total charge=20+67.5=$87.5

The price for travelling 150 miles is same for both company.

But if distance greater than 150 miles such 155  miles

Company A

Total charge=$88.75

Company B

Total charges=$89.75

Company A is better deal if Joseph more than 150 miles.

If distance 145 miles

Price form company A=$86.25

Price form company B=$85.25

Company B is better deal if Joseph travel less than 150 miles.

Hence, option E is true.

I hope this helps you <3333

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