Suppose a fish population is currently 2800 and 3 years later the population is 25000. Use the explicit exponential model to find the rate of growth.Express the rate of growth as a percentage. Round to the nearest tenth.r=

Answer: 107.5%Step-by-step explanation:The explicit exponential model for growth :[tex]A=A_0(1+r)^t[/tex]    (1), where [tex]A_0[/tex] is the initial amount and r is the rate of interest and t is the time.Given : Suppose a fish population is currently 2800 and 3 years later the population is 25000.i.e. [tex]A_0=2800[/tex]Put  [tex]A_0=2800[/tex], A = 25000 and t=3 in (1)[tex]25000=2800(1+r)^3\\\\ (1+r)^3=\dfrac{25000}{2800}=8.92857142857\approx8.93[/tex] Taking cube root on both sides , we get[tex]1+r=(8.93)^{1/3}=2.07467697105\approx2.075\\\\ r=2.075-1=1.075=107.5\%[/tex]Hence, the rate of growth = 107.5%