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Zorluk: KolayLinear Equations in One Variable

A rental company charges a flat fee of 3535 dollars plus 1212 dollars per hour to rent a bicycle. If a customer was charged a total of 9595 dollars, for how many hours did the customer rent the bicycle?

Cevap: 5 hours

Cevap

5
To find the number of hours the bicycle was rented, we can set up the equation 12h+35=9512h + 35 = 95, where hh is the number of hours. Subtracting 3535 from both sides gives 12h=6012h = 60. Dividing both sides by 1212 gives h=5h = 5. Thus, the customer rented the bicycle for 55 hours.

Adım Adım Çözüm

1
Set up a linear equation representing the total cost.
12h+35=9512h + 35 = 95, where hh represents the number of hours rented.
The total cost consists of a flat fee of 3535 dollars plus an hourly charge of 1212 dollars multiplied by the number of hours hh.
2
Subtract the flat fee from both sides of the equation to isolate the variable term.
12h=6012h = 60
Subtracting 3535 from both sides simplifies the equation to find the total hourly charge portion of the cost.
3
Divide by the hourly rate to solve for the number of hours hh.
h=5h = 5
Dividing both sides by 1212 isolates hh to find the number of rental hours.

Anahtar Kavram

Linear Equations in One Variable
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