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Read the following description of a relationship: $\newline$ Joel's shower uses $14\,\text{l}$ of water per minute. $\newline$ Let $m$ represent the number of minutes his shower is on and $w$ represent the liters of water used. $\newline$ $\newline$ Find the value of $w$ when $m = 10$ . $\newline$ $w = \_\_$

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Solve word problems by finding two-variable equations

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Q. Read the following description of a relationship:

\newline

Joel's shower uses

14\,\text{l}

of water per minute.

\newline

Let

m

represent the number of minutes his shower is on and

w

represent the liters of water used.

\newline

\newline

Find the value of

w

when

m = 10

.

\newline

w = \_\_

Equation Formulation: Step $1$ : Joel's shower uses $14$ liters of water per minute. Write an equation using $14$ , $m$ , and $w$ . $\newline$ The total liters of water used ( $w$ ) is $14$ times the number of minutes the shower runs ( $m$ ). $\newline$ $w = 14 \times m$ $\newline$ $w = 14m$
Substitute Value for m: Step $2$ : We know that $m = 10$ . $\newline$ Plug in the value for $m$ in $w = 14m$ . $\newline$ $w = 14m$ $\newline$ Substitute $m$ with $10$ . $\newline$ $w = 14 \times 10$
Solve for w: Step $3$ : $w = 14 \times 10$ $\newline$ Solve for w. $\newline$ $w = 14 \times 10 = 140$

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