Chapter 5.1, Problem 34E

A Population Model The population (in millions) of a state $t$ years after $2010$ is given by the graph of the exponential function $y=P\left(t\right)$ with growth constant $0.025$ in Fig. 6. [In parts (c) and (d) use the differential equation satisfied by $P\left(t\right)$.]

Figure $6$

a. What is the population in $2020$?

b. When is the population $10$ million?

c. How fast is the population growing in $2020$?

d. When is the population growing at the rate of $275,000$ people per year?