Acar rental company charges $34 per day for a rented car and $0.50 for every mile driven. a second rental company charges $20 per day and $0.75 for every mile driven. what is the number of miles at which both companies charge the same amount for a one-day rental?

a. 56 miles
b. 54 miles
c. 36 miles
d. 24 miles

.

 A. 56 miles.

Step-by-step explanation:

Formula,

Total rent for car = Fixed rate + (Additional rate per mile) x (Number of mile)

Let x be the number of miles droven .

As per given ,

A car rental company charges $34 per day for a rented car and $0.50 for every mile driven.

i.e. Total rent for car = 34 +0.5x   ...(i)

A second rental company charges $20 per day and $0.75 for every mile driven.

i.e. Total rent for car = 20 +0.75x   ...(ii)

If both company charges the same , then from (i ) and (ii) , we have

Hence, the number of miles at which both companies charge the same amount for a one-day rental = 56 miles

Thus, the correct answer is A. 56 miles.

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step-by-step explanation: