In the year 2000 the population was 281,421,906. In 2010 it was 308,745,538. Assuming an exponential growth model, the population can be modeled by the functionP(t)=281422000e^.0092t where t is the time in years since 2000 and P(t) is the population at that time. What will the population be in the year 2020? When will the population be 400 million?

Question

anonymous · Answer

You know 2000 was the original year they started measuring the population so that is year 0 therefore year 2020 will be year 20. To find the time the population will be in 2020, do this:

$$P(20)=281422000e^{0.0092(20)}$$


To find the time the population will be 400 mil, just do this:$$400,000,000 =281422000e^{.0092t}$$ 

The rest you can solve using algebra (if you need help just ask and I'll assist you with it). I hope that helps!

anonymous · Answer

Correction; I meant to write: To find what the population will be in 2020...

anonymous · Answer

TY so much. I think i can figure it out now.

anonymous · Answer

You're welcome! :]