ZillDiffEQ$103\mathrm{.}1\mathrm{.}002.$

The population of a community is known to increase at a rate proportional to the number of people present at time t$.$ The initial population

P$0$

has doubled in $5$ years.

Suppose it is known that the population is $9,000$ after $3$ years. What was the initial population P$0?($Round your answer to one decimal place.$)$

P$0=$

What will be the population $($in persons$)$ in $10$ years? $($Round your answer to the nearest person.$)$

persons

How fast $($in persons$/$year$)$ is the population growing at

t $=10?$

$($Round your answer to the nearest person.$)$