In 2010

In 2010, the population of the city was 223,000. From 2010 to 2015, the population grew by 6%. From 2015 to 2020, it fell by 4%. To the nearest 100 people, what was the population in 2020?

Correct answer:

x =  205500

Step-by-step explanation:

$$\begin{gathered} a=223000 \\ {r}_1=100\%+6\%=1+\frac{6}{100}=1.06 \\ {r}_2=100\%-4\%=1-\frac{4}{100}=0.96 \\ {x}_1=a\cdot r_2\cdot r_2=223000\cdot 0.96\cdot 0.96=205516.8 \\ x=[x_1] \\ x=205500 \end{gathered}$$

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