Question

Oceanside Bike Rental Shop charges 18 dollars plus 8 dollars an hour for renting a bike. Melanie paid 74 dollars to rent a bike. How many hours did she pay to have the bike checked out ? please help me show the work

Answer 1

For the information given in the statement let:

*h: number of hours the bike was rented

*R(h): total cost of renting the bike

So you have the following linear equation

`R(h)=8h+18`

And since Melanie paid $74 to rent a bike then

`\begin{gathered} R(h)=74 \\ \text{ Replacing} \\ 74=8h+18 \end{gathered}`

Now you can solve for h

`\begin{gathered} 74=8h+18 \\ \text{ Subtract 18 from both sides of the equation} \\ 74-18=8h+18-18 \\ 56=8h \\ \text{ Divide by 8 into both sides of the equation} \\ (56)/(8)=(8h)/(8) \\ 7=h \end{gathered}`

Therefore, Melanie paid for a 7 hours bike rental.