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The population of a city decreases by
1% per year. If this year's population is
p, which expression represents next year's population?

0.99 p

0.999 p

0.01 p

1p

The population of a city decreases by $1 \%$ per year. If this year's population is $p$ , which expression represents next year's population? $\newline$ $0.99 p$ $\newline$ $0.999 p$ $\newline$ $0.01 p$ $\newline$ $1 p$

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Write exponential functions: word problems

Full solution

Q. The population of a city decreases by

1 \%

per year. If this year's population is

p

, which expression represents next year's population?

\newline

0.99 p

\newline

0.999 p

\newline

0.01 p

\newline

1 p

Rephrase Problem: First, let's rephrase the ＂What expression represents the population of a city next year if it decreases by $1\%$ per year from this year's population $p$ ?＂
Calculate Decrease: To find next year's population, we need to subtract the decrease from the current population. A decrease of $1\%$ means the population retains $100\% - 1\% = 99\%$ of its current value.
Convert to Decimal: To express $99\%$ as a decimal, we divide $99$ by $100$ , which gives us $0.99$ .
Population Expression: Therefore, next year's population can be represented by multiplying this year's population $p$ by $0.99$ . The expression for next year's population is $0.99p$ .

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