ct the In 1980 the population of blue whales in the southern

ct the In 1980, the population of blue whales in the southern hemisphere was thought to number 1500. The popudation N (t) has been decreasing according to the forrna N) 1500e 0 1345, where t is in years and t 0 corresponds to 1980. Predict the population in the year 2015 if this trend continues 6.

Solution

N(t)=4500e^-0.1345t

t=2015-1980=35

N(35) = 4500e^-0.1345(35) = 41

In 2015 population of whales=41