Chapter 1.1, Problem 25PPE

To determine

Model the relationship in the table.

Answer to Problem 25PPE

  $\left(\$9\times n\right)+\$5$

Explanation of Solution

Given information:

During vacations, you rent a bicycle. You pay $\$9$ for each hour you use the bicycle. It costs $\$5$ to rent a helmet while you use the bicycle.

  

Calculation:

Here, we will consider the following table:

  $\begin{array}{ll}Numberofhours\hfill & \mathrm{Rental}cost\hfill \\ 1\hfill & \left(\$9\times 1\right)+\$5\hfill \\ 2\hfill & \left(\$9\times 2\right)+\$5\hfill \\ 3\hfill & \left(\$9\times 3\right)+\$5\hfill \\ n\hfill & \mathrm{.....}\hfill \end{array}$

Now, from the above table we can conclude that:

When he uses bicycle for $1hour$ , the rental cost will become:

  $\begin{array}{l}\left(\mathrm{Rental}costofbicycle\times numberofhours\right)+rental\cos tofhelmet\\ wherenumberofhour=1\end{array}$

Now, when he uses bicycle for $2hours$ the rental cost will become:

  $\begin{array}{l}\left(\mathrm{Rental}costofbicycle\times numberofhours\right)+rental\mathrm{cost}ofhelmet\\ wherenumberofhours=2\end{array}$

Now, when he uses bicycle for $3hours$ the rental cost will become:

  $\begin{array}{l}\left(\mathrm{Rental}costofbicycle\times numberofhours\right)+rental\mathrm{cost}ofhelmet\\ wherenumberofhours=3\end{array}$

Now, when he uses bicycle for $nhours$ the rental cost will become:

  $\begin{array}{l}\left(\mathrm{Rental}costofbicycle\times numberofhours\right)+rental\mathrm{cost}ofhelmet\\ wherenumberofhours=n\end{array}$

Thus, the expression for rental cost of bicycle for $nnumbers$ of $hours$ is $\left(\$9\times n\right)+\$5$

Hence, the required expression is $\left(\$9\times n\right)+\$5$ .