Question

In the year 2016, the estimated population of Canandian geese in a city was 750. The Canandian geese population is expected to grow at a rate of 12% each year.What is the function that represents the population t years after 2016?A) y = 2016(1+0.12)^tB) y = 750(1+0.12)^2016+tC) y = 750(1+0.12)^2016D) y = 750(1+0.12)^t

Answer 1

Given:

Population was 750 in 2016

growth rate = 12%

We are required to find the population t years after 2016

For exponential growth, we use the formula:

`f(x)=a(1+r)^x`

Where

f(x)=exponential growth function

a=initial amount

r=growth rate

x=number of time intervals

Applying the formula to the given values:

`y\text{ = }750(1+0.12)^t`

Hence, the function that represents the population t years after 2016:

`y=750(1+0.12)^t`

Answer: Option D