Answer
a) $P=22000e^{0.071^t}$
b) $7.358\%$ per year
Work Step by Step
(a) Since the population is growing by a constant continuous percent rate, the function can be modelled as an exponential function,$a= 22000$ and $b= 0.071$
$$P=22000e^{0.071^t}$$.
b) Rewrite the above function in the form:$P=ab^t$.
$$
P(t)=22,000\left(e^{0.071}\right)^t \approx 22,000(1.07358)^t
$$
From this, we see that $b= 1.07358$. The population increases by about $7.358\%$ per year.
