A rental company charges a flat fee of 35 dollars plus 12 dollars per hour to rent a bicyc… — SAT

A rental company charges a flat fee of $35$ dollars plus $12$ dollars per hour to rent a bicycle. If a customer was charged a total of $95$ dollars, for how many hours did the customer rent the bicycle?

Answer: 5 hours

Answer

To find the number of hours the bicycle was rented, we can set up the equation

12h + 35 = 95

, where

h

is the number of hours. Subtracting

35

from both sides gives

12h = 60

. Dividing both sides by

12

gives

h = 5

. Thus, the customer rented the bicycle for

5

hours.

Step-by-Step Solution

Set up a linear equation representing the total cost.

12h + 35 = 95

, where

h

represents the number of hours rented.

The total cost consists of a flat fee of

35

dollars plus an hourly charge of

12

dollars multiplied by the number of hours

h

Subtract the flat fee from both sides of the equation to isolate the variable term.

12h = 60

Subtracting

35

from both sides simplifies the equation to find the total hourly charge portion of the cost.

Divide by the hourly rate to solve for the number of hours

h

h = 5

Dividing both sides by

12

isolates

h

to find the number of rental hours.

Key Concept

Linear Equations in One Variable

Question

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Step-by-Step Solution

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