Atown 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.

Yes

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