Answer
See three-part explanation below
Work Step by Step
a) If the value of y at time $t$ is $P(t)$ and if the rate of change is proportional to the magnitude of $P(t)$ at any time, then $\frac{dP}{dt}=kP$ IN a relative growth rate problem, $1/P *dP/dt$ is constant.
b) Unlimited environment, no diseases or predations, no malnutrition, no outside influence
c) If $P(0) = P_0$ the initials value, then the solution is $P(t) = P_0 *e^{kt}$.
