Question

Jake’s water bill is $\backslash (24.80$per month plus $\backslash )2.20$per ccf (hundred cubic feet) of water. What is the maximum number of ccf Jake can use if he wants his bill to be no more than $\$60$?

Short answer

The maximum number of ccf Jake can use if he wants his bill to be no more than $\$60$is,$16$ccf.

Step-by-step solution

Step 1. Given information

The cost of per ccf (hundred cubic feet) of water is, $\$2.20$.

Jake's water bill is, $\$24.80$plus cost of per ccf of water.

It is also mentioned that, Jake's bill to be no more than $\$60$.

Let$x$be the required maximum number of ccf.

From the given information, let us create an equation.

$24.80+\left(2.20\right)x\le 60$

Step 2. Now simplify the obtained equation.

$$\begin{gathered} 24.80+\left(2.20\right)x\le 60 \\ \left(2.20\right)x\le 60-24.80 \\ \left(2.20\right)x\le 35.2 \\ x\le \frac{35.2}{2.20} \\ x\le 16 \end{gathered}$$

Step 3. Let us check the answer.

$$\begin{gathered} 24.80+\left(2.20\right)16\le 60 \\ 24.80+35.2\le 60 \\ 60\le 60 \end{gathered}$$

which is true.

Therefore, the maximum number of ccf Jake can use if he wants his bill to be no more than$\$60$is,$16$ccf.