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The population of a city increases by
1.2% per year. If this year's population is 98,000 , what will next year's population be, to the nearest individual?
Answer:

The population of a city increases by $1.2 \%$ per year. If this year's population is $98$ , $000$ , what will next year's population be, to the nearest individual? $\newline$ Answer:

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Exponential growth and decay: word problems

Full solution

Q. The population of a city increases by

1.2 \%

per year. If this year's population is

98

,

000

, what will next year's population be, to the nearest individual?

\newline

Answer:

Identify Population and Growth Rate: Identify the current population and the annual growth rate. The current population is $98,000$ , and the growth rate is $1.2\%$ per year.
Convert Growth Rate to Decimal: Convert the percentage growth rate to a decimal to facilitate the calculation. $\newline$ $1.2\%$ as a decimal is $0.012$ .
Calculate Population Increase: Calculate the increase in population due to the growth rate. $\newline$ Increase = $\text{Current Population} \times \text{Growth Rate}$ $\newline$ Increase = $98,000 \times 0.012$
Find Next Year's Population: Perform the calculation to find the increase. $\newline$ Increase = $98,000 \times 0.012 = 1,176$
Perform Calculation for Next Year: Add the increase to the current population to find next year's population. $\newline$ Next Year's Population = Current Population + Increase $\newline$ Next Year's Population = $98,000 + 1,176$
Round Population to Nearest: Perform the calculation to find next year's population. $\newline$ Next Year's Population = $98,000 + 1,176 = 99,176$
Round Population to Nearest: Perform the calculation to find next year's population. $\newline$ Next Year's Population = $98,000 + 1,176 = 99,176$ Round the population to the nearest individual. $\newline$ Since the population is already a whole number, no rounding is necessary. $\newline$ Next Year's Population = $99,176$

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