Question

Austin is comparing the prices of two truck rental companies. Company A charges $4 per hour and an additional $70 as service charges. Company B charges $5 per hour and an additional $60 as service charges. Part A: Write an equation to represent each company's total charges for renting a truck for a certain number of hours. For both equations (one for Company A and one for Company B), define the variable used. (4 points) Part B: Which company would charge less for renting a truck for 6 hours? Justify your answer. (3 points) Part C: How much money is saved by using the services of Company B instead of Company A to rent a truck for 7 hours? (3 points)

Answer 1

A(h)=4h+70, A(h)=dollars to rent for h hours, h=hours rented.

B(h)=5h+60,  same variable explanations...

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To compare the two values at 6 hours you have:

A(6)=4(6)+70=24+70=$94

B(6)=5(6)+60=30+60=$90

So at 6 hours Company B would charge $4 less than Company A

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Savings at 7 hours of rental by using B instead of A is:

S(h)=A(h)-B(h)

S(h)=4h+70-5h-60

S(h)=-h+10

S(7)=-7+10=$3

So at 7 hours, Company B saves you $3.