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On January
1^("st "),2014, approximately 450 thousand buildings in the United States (US) had solar panels. This number increased by a total of about 180 thousand over the next 12 months. Assuming a constant rate of change, approximately how many months after January
1^("st "),2014 would 900 thousand buildings in the US have solar panels?

◻

On January $1^{\text {st }}, 2014$ , approximately $450$ thousand buildings in the United States (US) had solar panels. This number increased by a total of about $180$ thousand over the next $12$ months. Assuming a constant rate of change, approximately how many months after January $1^{\text {st }}, 2014$ would $900$ thousand buildings in the US have solar panels? $\newline$ $\square$

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Experimental probability

Full solution

Q. On January

1^{\text {st }}, 2014

, approximately

450

thousand buildings in the United States (US) had solar panels. This number increased by a total of about

180

thousand over the next

12

months. Assuming a constant rate of change, approximately how many months after January

1^{\text {st }}, 2014

would

900

thousand buildings in the US have solar panels?

\newline

\square

Calculate Rate of Increase: Calculate the rate of increase per month. $\newline$ Rate of increase $= \frac{\text{Total increase over 12 months}}{\text{Number of months}}$ $\newline$ $= \frac{180,000 \text{ buildings}}{12 \text{ months}}$ $\newline$ $= 15,000 \text{ buildings per month}$
Find Additional Buildings Needed: Find out how many more buildings are needed to reach $900$ thousand from the initial $450$ thousand. $\newline$ Additional buildings needed = Target number of buildings - Initial number of buildings $\newline$ = $900,000$ buildings - $450,000$ buildings $\newline$ = $450,000$ buildings
Calculate Number of Months: Calculate the number of months needed to reach an additional $450,000$ buildings at the rate of $15,000$ buildings per month. $\newline$ Number of months = Additional buildings needed / Rate of increase per month $\newline$ = $\frac{450,000 \text{ buildings}}{15,000 \text{ buildings per month}}$ $\newline$ = $30$ months

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