Question

The population of bears in a national forest is changing according to the function N(t)=850(1.04)t , where t is the time in years, and N(t) is the number of bears. Which statement explains how the bear population is changing?

Answer 1

The statement is that the population increases at a rate of 4% per year

Explanation:

The function is given as;

N(t) = 850(1.04)^t

The general equation form for a representation as this is;

P = I(1 + r)^t

Where I is the initial value and P is the present value

r is the rate of increase

t is the time

Thus, we have that;

1 + r = 1.04

r = 1.04-1

r = 0.04

0.04 is same as 4/100 which is same as 4%

So the statement about how the population of bear is changing is that the population increases at a rate of 4% each year