Question

The deer population in a certain state park doubles every year. In the year 2010, there were 30 deer in the park. Which function can be used to determine the population of deer in the state park based on the number of years since 2010? y = 30(2)x y = 302x y = 2x + 30 y = 30x (2)

Answer 1

y = 30(2)^x

Explanation:

Initial deer population = 30 (in 2010)

Every year, deer population doubles ; this means there is an 100% increase in the population every year ;

Hence, using the exponential growth relation :

Final = initial * (1 + rate)^year

Here,

Final population y ; x years after 2010

Rate = 100% = 1

Hence,

y = 30(1 + 1)^x

y = 30(2)^x