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Mr. Green uses a linear function to estimate how installing solar panels on the roof of his house will reduce his electric bill. $\newline$ • Mr. Green does not have any solar panels yet, and his electric bill is $133$ $\$$ per month on average. $\newline$ • For each $100$ square feet of solar panels he installs, Mr. Green's monthly electric bill will decrease by $13.50$ $\$$ . $\newline$ How many square feet of solar panels must Mr. Green install to reduce his monthly electric bill to $25$ $\$$ ? $\newline$ $\_\_\_$ square feet

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Evaluate two-variable equations: word problems

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Q. Mr. Green uses a linear function to estimate how installing solar panels on the roof of his house will reduce his electric bill.

\newline

• Mr. Green does not have any solar panels yet, and his electric bill is

133

\$

per month on average.

\newline

• For each

100

square feet of solar panels he installs, Mr. Green's monthly electric bill will decrease by

13.50

\$

.

\newline

How many square feet of solar panels must Mr. Green install to reduce his monthly electric bill to

25

\$

?

\newline

\_\_\_

square feet

Find Current Bill Difference: First, find out how much the bill needs to decrease by subtracting the desired bill from the current bill. $133 \$\$$ - $25$ $\$$ = $108$ $\$$ \)
Calculate Solar Panel Area: Next, divide the amount the bill needs to decrease by the amount it decreases for every $100$ square feet of solar panels. $\newline$ $108 \$$ $\div$ $13.50 \$$ per $100$ square feet = $8$

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