Question

Oceanside bike rental shop charges 13 dollars fixed fee plus 6 dollars an hours for renting a bike. Tom paid 61 dollars to rent a bike. How many hours did he pay to have the bike checked out?

Answer 1

Let:

b = fixed fee

x = number of hours

y = total cost

the equation that describes the problem is given by:

$\begin{gathered} y(x)=6x+b \\ y(x)=6x+13 \end{gathered}$

If Tom paid 61 dollars to rent a bike:

$\begin{gathered} y(x)=61 \\ 61=6x+13 \\ \text{solve for x:} \\ 61-43=6x \\ 48=6x \\ x=\frac{48}{6} \\ x=8 \end{gathered}$

Answer: 8 hours