Answer:
244000
Explanation:
The growth is a 5.9% increase, the fall is a 4.8% decrease
\color{green}{5.9\%\text{ increase}}=
5.9% increase=
\,\,100\%+5.9\%=\color{green}{105.9\%}
100%+5.9%=105.9%
\color{red}{4.8\%\text{ decrease}}=
4.8% decrease=
\,\,100\%-4.8\%=\color{red}{95.2\%}
100%−4.8%=95.2%
\color{darkviolet}{\text{2020 pop}}=
2020 pop=
\,\,\color{red}{95.2\%}\text{ of }\color{green}{105.9\%}\text{ of }\color{blue}{\text{2010 pop}}
95.2% of 105.9% of 2010 pop
=
=
\,\,\color{red}{0.952}\times\color{green}{1.059}\times\color{blue}{242000}
0.952×1.059×242000
95.2% = 0.952
105.9% = 1.059
=
=
\,\,\color{darkviolet}{243976.656}
243976.656
\approx
≈
\,\,\color{darkviolet}{244000}
244000
Round to the nearest 100 people
\text{The population in 2020 was 244000 people.}
The population in 2020 was 244000 people.
Method 2
\color{green}{\text{growth}}=
growth=
\,\,\text{5.9\% of \color{blue}{\text{2010 population}}}
5.9% of 2010 population
=
=
\,\,0.059\times\color{blue}{242000}
0.059×242000
5.9% = 0.059
=
=
\,\,\color{green}{14278}
14278
\color{darkorange}{\text{2015 population}}=
2015 population=
\,\,\color{blue}{\text{2010 population}}+\color{green}{\text{growth}}
2010 population+growth
=
=
\,\,\color{blue}{242000}+\color{green}{14278}
242000+14278
=
=
\,\,\color{darkorange}{256278}
256278
\color{red}{\text{decrease}}=
decrease=
\,\,4.8\%\text{ of }\color{darkorange}{\text{2015 population}}
4.8% of 2015 population
=
=
\,\,0.048\times\color{darkorange}{256278}
0.048×256278
4.8% = 0.048
=
=
\,\,\color{red}{12301.344}
12301.344
\color{darkviolet}{\text{2020 population}}=
2020 population=
\,\,\color{darkorange}{\text{2015 population}}-\color{red}{\text{decrease}}
2015 population−decrease
=
=
\,\,\color{darkorange}{256278}-\color{red}{12301.344}
256278−12301.344
=
=
\,\,\color{darkviolet}{243976.656}
243976.656
\approx
≈
\,\,\color{darkviolet}{244000}
244000
Round to the nearest 100 people