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The population of a city decreases by
2% per year. What should we multiply the current population by to find next year's population in one step?
Answer:

The population of a city decreases by $2 \%$ per year. What should we multiply the current population by to find next year's population in one step? $\newline$ Answer:

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Exponential growth and decay: word problems

Full solution

Q. The population of a city decreases by

2 \%

per year. What should we multiply the current population by to find next year's population in one step?

\newline

Answer:

Determine percentage decrease: Determine the percentage decrease in population. The population decreases by $2\%$ each year. To find the multiplier, we subtract the percentage decrease from $100\%$ .
Calculate the multiplier: Calculate the multiplier. $\newline$ $100\% - 2\% = 98\%$ $\newline$ To convert this percentage into a decimal multiplier, we divide by $100$ . $\newline$ $98\% / 100 = 0.98$
Confirm the multiplier: Confirm the multiplier. $\newline$ The multiplier to find next year's population is $0.98$ . $\newline$ This means that to find next year's population, we multiply the current population by $0.98$ .

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