Nathan has a $75 budget to rent a car for a day. The daily rental charge is $29.50 and then he will also have to pay $0.55 per mile. How many miles can he drive the car without exceeding his budget? (All partial miles are counted as full miles.)

Since Nathan only needs the car for a day and he has 75$ then we can set that as are maximum to build the equation to find the amount of miles he can drive.

75 = 29.5 + 0.55x

45.5 = 0.55x

x = 82.73

The problem states that partial miles will count as full miles, so Nathan can only afford to drive 82 miles on the rental car.

Cheers.

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ProfessorAlvarez ProfessorAlvarez · Answer 2 · 2020-07-31T19:05:44+02:00

ProfessorAlvarez ProfessorAlvarez

31-07-2020

[tex]\text{Find how many miles Nathan can drive on his budget}\\\\\text{Make an equation:}\\\\75=0.55x+29.50\\\\\text{In this case, x = the amount of miles}\\\\\text{Solve the equation for x:}\\\\75=0.55x+29.50\\\\\text{Subtract 29.50 from both sides}\\\\45.50=0.55x\\\\\text{Divide both sides by 0.55}\\\\82.7272=x\\\\\text{Since he can't drive an extra 0.27 more miles, he can only drive 82 miles}\\\\\boxed{\text{82 miles}}[/tex]

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