Question

1
The rate of population decline of Seaside
Harbor is modeled by the equation
-0.00810
P(t)=15000e
where t is the time
in years and 15,000 is the current
population. In approximately how many
years will the population of Seaside
Harbor be 9,000?

Answer 1

(−0.0081p)(t)=(15000)(2.718282)

Step 1: Divide both sides by -0.0081t.

−0.0081pt

−0.0081t

=

40774.227427

−0.0081t

p=

−40774.227427

0.0081t

Answer:

p=

−40774.227427

0.0081t