Question

There are 20 wild pigs on an island and the number of pigs doubled each year for the past 5 years. This situation models what type of function

Answer 1

We have been given that there are 20 wild pigs on an island and the number of pigs doubled each year for the past 5 years. We are asked to find that which function will represent this situation.

Let t be number of years. Our function will be an exponential function as the number of pigs doubled each year for the last 5 years.

Now we can write a function as,

`f(t)=20\cdot2^(t)`

20 is the initial number of pigs on island.

Therefore, increase in number of pigs can be modeled by an exponential function.