Equalization function

Question

1.The fox population in a certain region has a continuous growth rate of 8 percent per year. It is estimated that the population in the year 2000 was 17500.(a) Find a function that models the population  years after 2000 ( for 2000).Hint: Use an exponential function with base .Your answer is    (b) Use the function from part (a) to estimate the fox population in the year 2008.Your answer is (the answer must be an integer)

Answer 1

Exponential (continuous) growth is modeled as

N(t) = N(0) exp(rt)

where

N(t) is the number at time t

and N(0) is the initial number, time t=0

Here,

r = 0.08

t = (year - 2000)

Use this information to model P(t) = N(t), etc.

and round up or down so as not to have a fractional fox