Write an equation and solve for x.

Question

Seawall Bike Rental Shop charges a $11 fixed fee plus $9 an hour to rent a bike. Steve paid $56 to rent a bike.



How many hours did he pay to have the bike checked out?.
hours

Answer 1

To solve for $x$, the number of hours Steve rented the bike, we need to set up an equation based on the charges.

The total charge for renting a bike can be expressed as:

$$\text{Total Charge}=\text{Fixed Fee}+(\text{Hourly Rate}\times \text{Number of Hours})$$

From the information given:

• Fixed Fee = $11
• Hourly Rate = $9
• Total Charge = $56
• Number of Hours = $x$

We can set up the equation:

$$56=11+9x$$

Now, we will solve for $x$.

1. Subtract the fixed fee from both sides:

$$56-11=9x$$

$$45=9x$$

2. Divide both sides by 9:

$$x=\frac{45}{9}$$

$$x=5$$

Thus, Steve rented the bike for 5 hours.