P (t) = 250,300e^kt

,

where t is the number of years since 2010. (t = 0 corresponds to the

year 2010.)

(a) Using the fact the population was about 267,000 in 2015, find k.

(Give an exact value and then round to 4 decimal places.

(b) According to the model using the approximate value of k, during

what year will the population

reach 300,000?

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