91Ó°ÊÓ

A population grows according to an exponential growth model. The initial population is \(P_{0}=11\) and the common ratio is \(R=1.25 .\) (a) Find \(P_{1}\). (b) Find \(P_{9}\). (c) Give an explicit formula for \(P_{N}\).

Since \(2010,\) when 100,000 cases were reported, each year the number of new cases of equine flu has decreased by \(20 \% .\) Let \(P_{N}\) denote the number of new cases of equine flu in the year \(2010+N\) (a) Give a recursive description of \(P_{N}\) (b) Give an explicit description of \(P_{N}\). (c) If the trend continues, approximately how many new cases of equine flu will be reported in the year \(2025 ?\)