P = 2000 * 2^(t/10)
Any time you get something raised to a power, you should suspect it is exponential. In this case, it is exponential.
The 2 is raised to a power that every 10 years the population doubles. That it. What happens after 10 years?
P = 2000*2^(10/10) = 2000*2 = 4000
What will happen in 40 years.
P = 2000*2^(40/10) = 2000*2^4 = 2000*16 = 32000.
Answer: Yes