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Continuous Growth Rate From Data

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A population, P(t)P(t), grows according to the model P(t)=P(0)ertP(t)=P(0)e^{rt}, where tt is time in years. Based on the data in the table, what is the best estimate for the continuous annual growth rate, rr?

t (years) P(t)
0 100
2 150
4 225
6 337.5
8 506.25
A

0.150.15

B

0.4050.405

C

0.3010.301

D

0.2030.203

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