Question

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 1

The initial population is P' = 500.

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

`P=P^(\prime)(1+(r)/(100))^n`

Determine the population in the 11 year.

`\begin{gathered} P=500*(1+(5)/(100))^(11) \\ =500*(1.05)^(11) \\ =855.169 \\ \approx855 \end{gathered}`

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