SOLUTION: Truck Rental You need to rent a moving truck for two days. Rider Moving Trucks charges $50 per day and $.50 per mile. UMove Trucks charges $45 per day and $0.75 per mile. Write a

Algebra ->  Test -> SOLUTION: Truck Rental You need to rent a moving truck for two days. Rider Moving Trucks charges $50 per day and $.50 per mile. UMove Trucks charges $45 per day and $0.75 per mile. Write a      Log On


   

Question 1114401: Truck Rental
You need to rent a moving truck for two days. Rider Moving Trucks charges $50 per day and $.50 per mile. UMove Trucks charges $45 per day and $0.75 per mile. Write an equation describing each situation. Graph them on the same xy axis. You only need Quadrant I because all values are positive. The x axis represents mileage. Use a scale of 0 to 100 counting by 10’s. The y axis is cost and goes from $0 to $160, counting by 20’s.
a. From your graph, after how many miles would the trucks cost the same?
b. Which company will give you a better deal if you drive less than 30 miles?
c. Which company will give you a better deal if you drive more than 60 miles?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
You need to rent a moving truck for two days.
Rider Moving Trucks charges $50 per day and $.50 per mile.
R(x) = 50 + 0.5x
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UMove Trucks charges $45 per day and $0.75 per mile.
U(x) = 45+0.75x
Write an equation describing each situation. Graph them on the same xy axis. You only need Quadrant I because all values are positive. The x axis represents mileage. Use a scale of 0 to 100 counting by 10’s. The y axis is cost and goes from $0 to $160, counting by 20’s.
graph%28400%2C400%2C0%2C100%2C0%2C160%2C50%2B0.5x%2C45%2B0.75x%29
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a. From your graph, after how many miles would the trucks cost the same?::20
Solve: 50+0.5x = 45+0.75x
5 = 0.25x
x = 20
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b. Which company will give you a better deal if you drive less than 30 miles?:UM
Check R(10) = 50+0.5(10) = 55
Check U(10) = 45+0.75(10) = 45+7.5 = 52.5

c. Which company will give you a better deal if you drive more than 60 miles?R
Check R(80)
Check U(80)
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Cheers,
Stan H.
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