Answer
$~~100+\int_{0}^{15}n'(t)~dt~~$ represents the bee population at the end of 15 weeks.
Work Step by Step
We can state the Net Change Theorem as follows:
The integral of a rate of change is the net change:
$\int_{a}^{b}F'(x)~dx = F(b)- F(a)$
$n'(t)~~$ is the rate at which the bee population increase each week.
Therefore, $~~100+\int_{0}^{15}n'(t)~dt~~$ represents the bee population at the end of 15 weeks.
