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The first year of a charity walk event had an attendance of 500. The attendance y increases by 5% each year. How many people will attend in the 11th year? round your answer to the nearest person

Answer :

The initial population is P' = 500.

The equation for the attendance in n year, if population increases by r% every year.

[tex]P=P^{\prime}(1+\frac{r}{100})^n[/tex]

Determine the population in the 11 year.

[tex]\begin{gathered} P=500\times(1+\frac{5}{100})^{11} \\ =500\times(1.05)^{11} \\ =855.169 \\ \approx855 \end{gathered}[/tex]

So, approximately 855 people attend the charity walk in 11th year.

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