A mathematical model for population growth over short intervals $is$ given $by$

$P=P_0{e}^{rt},$ where $P_{0}is$ the population $at$ time $t=0,ris$ the continuous compound

rate $of$ growth, $tis$ the time $in$ years, and $Pis$ the population $at$ time $t.$ How long will

$it$ take a country's population $to$ triple $ifit$ continues $to$ grow $at$ its current

continuous compound rate $of0\mathrm{.}93\%$ per year?

Substitute the given values into the equation for the population. Express the

population $at$ time $tas$ a function $of{P}_0.$

$3P_0=P_0{e}^{0\mathrm{.}0093t}(Simplify$ your answers.$)$

The population will triple $in$ about years.

$(Typean$ integer $or$ decimal rounded $to$ one decimal place $as$ needed.$)$