The population P = P(t) of Helm, can be modeled by
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?