Chapter 8.7, Problem 88CCR

(a)

To determine

Given m, the number of minutes, write an equation that can be used to find g, the number of gallons used.

Answer to Problem 88CCR

The required equation: $g=6m$

Explanation of Solution

Given:

A standard showerhead uses about 6 gallons of water per minute. The table shows the relationship between time in minutes and the number of gallons of water used.

  

Concept Used:

Given m, the number of minutes, write an equation that can be used to find g, the number of gallons used.

Calculation:

Condition given water used 6 gallons per minutes.

Number of minutes = m and number of gallon is g

Number of gallons of water used in m minutes is 6m

The required equation: $g=6m$

Thus, The required equation: $g=6m$

(b)

To determine

Find the number of minutes elapsed when 72 gallons of water were used.

Answer to Problem 88CCR

12 minutes will need to use 72 gallons of water.

Explanation of Solution

Given:

A standard showerhead uses about 6 gallons of water per minute. The table shows the relationship between time in minutes and the number of gallons of water used.

  

Concept Used:

The required equation: $g=6m$

Where g is the amount of water is used in m minutes.

How many minutes elapsed if 72 gallons of water were used?

Calculation:

Here g = 72 gallons. Find m from the equation: $g=6m$

  $\begin{array}{l}g=6m\\ 72=6m[\text{Substitute}g=72]\\ \frac{72}{6}=\frac{6m}{6}\\ m=12\text{minutes}\end{array}$

Thus, 12 minutes will need to use 72 gallons of water.