A town with an initial population of 2,000 doubling in size every 10 years. Exponential function or no?

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