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The population of a city decreases by
1% 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 $1 \%$ 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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Write exponential functions: word problems

Full solution

Q. The population of a city decreases by

1 \%

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

\newline

Answer:

Calculate Percentage Decrease: Determine the percentage decrease in population. Since the population decreases by $1\%$ per year, we can represent this decrease as a percentage of the current population. To find the factor by which the population decreases, we subtract the percentage decrease from $100\%$ .
Find Multiplication Factor: Calculate the factor to multiply the current population by. $\newline$ $100\% - 1\% = 99\%$ $\newline$ To convert this percentage into a decimal factor, we divide by $100$ . $\newline$ $99\% / 100 = 0.99$ $\newline$ This means that to find next year's population, we should multiply the current population by $0.99$ .

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