The number of Canadian geese roaming in a community grows every year according to the function P(t)=100e^0.0425t with t representing the number of years. How many Canadian Geese will there be in three years?

Question

The number of Canadian geese roaming in a community grows every year according to the function P(t)=100e^0.0425t with t representing the number of years. How many Canadian Geese will there be in three years?

Answer 1

To find the number of Canadian geese in three years, we plug in t = 3 into the given function:

P(3) = 100e^(0.0425*3) = 100e^0.1275.

Using a calculator, we find that e^0.1275 ≈ 1.136.

Therefore, P(3) ≈ 100 * 1.136 = 113.6.

So, there will be approximately 113.6 Canadian geese in three years.