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tester [92]
3 years ago
8

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 equatio

n 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​
Mathematics
1 answer:
olga nikolaevna [1]3 years ago
7 0

Answer:  40 miles

<u>Step-by-step explanation:</u>

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         <em>subtracted 0.50x from both sides</em>

0.25x               =              10.00          <em>subtracted 49.95 from both sides</em>

                   x   =    40                        <em>divided 0.25 from both sides</em>            

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