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Hertz Rental Car offers a plan of $20 per week for an compact car and 10 cents per mile. Budget RentalCar, a competing company, offers a plan of $10 per week for an identical car and 15 cents per mile. You need the car to travel from Atlanta to Charlotte, NC and back.

How can you determine which plan will be cheaper for you?

Respuesta :

opudodennis

Answer:

Hertz Rental ($60)

Step-by-step explanation:

let c be the total cost of renting the car for the to trip and m be the miles traveled to Atlanta(one-way).

#Hertz Rental

c=0.1m+20

#Budget Rental

c=0.15m+10

#Equate the two equations to solve for c and m:

[tex]0.1m+20=0.15m+10\\\\10=0.05m\\\\m=200[/tex]

#Substitute the value of m in both to solve for c

[tex]c_h=0.1\times 200+20=40\\\\c_b=0.15\times 200+10=40[/tex]

Since m is the single-way distance, we calculate the cost of two and fro, m=400:

[tex]c_h=0.1\times 400+20=60\\\\c_b=0.15\times 400+10=70[/tex]

Hence, Hertz Rental is the cheapest option as it cost's only $60 to and from Atlanta.

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