P(x)= 17(1.15)^2x

Question

In population, p(x), of wild turkeys in a certain area is represented by the function p(x)= 17(1.15)^2x, Where x is the number of years since 2010. How many more turkeys will be in the population for the years 2015 than 2010?

Answer 1

Since 2015 is 5 years after 2010, plug in x=5 and evaluate to get P(5). That gives the total at 2015. To get the initial population at 2010, plug in x=0 and evaluate P(0). The increase is just the difference between P(5) and P(0):

ΔP = P(5) - P(0)

You have the formula for P(x), so just plug in the numbers.