U-haul rents a truck for $49.95 + $.75 per mile. ABC Truck Rental rents the same truck for $59.95 and $.50 per mile. The equation representing U-Haul is y=.75x + 49.95 and the equation for ABC Truck Rental is y=.50x + 59.95. Find the number of miles where the cost to rent the trucks will be the same

Question

Mathematics

Guest

9 February, 07:40

U-haul rents a truck for $49.95 + $.75 per mile. ABC Truck Rental rents the same truck for $59.95 and $.50 per mile. The equation representing U-Haul is y=.75x + 49.95 and the equation for ABC Truck Rental is y=.50x + 59.95. Find the number of miles where the cost to rent the trucks will be the same

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Answers (1)

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Dennis Boone · Answer 1

Answer: 40 miles

Step-by-step explanation:

Let x represent the number of miles and y represent the total cost

U-Haul: y = 0.75x + 49.95

ABC: y = 0.50x + 59.95

Use substitution method to solve for x:

0.75x + 49.95 = 0.50x + 59.95

0.25x + 49.95 = 59.95 subtracted 0.50x from both sides

0.25x = 10.00 subtracted 49.95 from both sides

x = 40 divided 0.25 from both sides