Question

A duck population is modeled by

Pn=200⋅(1.02)n
where n is the number of years after the year 2010. How many ducks does the model predict for the year 2025? Round to the nearest whole number of ducks.

Answer 1

3060 ducks

Explanation:

There are 2 possibilities here. We can plug in 15 for n since 2025 is 15 years after 2010, or we can graph it and find the value.

If we do the first method, we have

`P=200*1.02(15)\\P=3060`

So the population in 2025 is 3060 ducks.

We can check our answer by graphing on a calculator. If we enter the equation and then use calc>value we can see that when x=15, y=3060.

Hope this helps!