Question

The population of deer in a certain area of Stanly county grows proportional to itself. The population of deer in 2000 was found to be 145 , and by 2010 the population had grown to 185 . ii. Find the rate of growth of deer per year in 2015

Answer 1

Answer: 209 deer per year in 2015

Explanation:

The equation of the population of deer as a function of time:

P = 145
`e^(kt)`

The population of deer increased from 145 to 185 in 10 years. So, we can find k:

185 = 145
`e^(10k)` ⇒ k = 0.024

The expected population of deer in 2015 is:

P(15) = 145
`e^(0.024(15))` = 209 (deer per year)

So, the expected population of deer by 2015 is 209.