# An initial population of 295 quail increases at an annual rate of 7%. Write an exponential function to model the quail population. What will the approximate population be after 2 years?

Jul 13, 2016

452

#### Explanation:

The standard exponential model is

P = P_o(1+p/100)^T,

where P is population after T years, , p is percentage increase in a

year and P_o 295 is the population at T = 0 and p = 7..

So, when T = 2, P = 395(1.07)^2= 452, rounded to the lower integer.

Here P is the count of quail at time T, P_0=