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Read the following description of a relationship: $\newline$ Nolan's shower uses $20$ liters 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

Nolan's shower uses

20

liters 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 Formation: Step $1$ : Nolan's shower uses $20$ liters of water per minute. Write an equation using $20$ , $m$ , and $w$ . The total liters of water used ( $w$ ) is $20$ times the number of minutes the shower is on ( $m$ ). $w = 20 \times m$
Substitute Value for m: Step $2$ : We know that $m = 10$ . Plug in the value for $m$ in $w = 20m$ . $w = 20 \times m$ Substitute $m$ with $10$ . $w = 20 \times 10$
Calculate Total Water Used: Step $3$ : $w = 20 \times 10$ Solve for $w$ . $w = 20 \times 10 = 200$ Therefore, Nolan's shower uses $200$ liters of water in $10$ minutes.

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