Givens.
• The initial population is 3000. (P_0 = 3000)
,
• The ratio is 2 because it's doubling. (r = 2)
,
• The doubling time is 10 years. (u = 10)
,
• The total number of years is 8, t = 8.
Represent the problem with an exponential function because population growth has an exponential behavior.
Use the given values to find P(8).
Then,
Therefore, the population after 8 years is 5223.30.