$5$

Numeric

$2$ points

A city's population will increase due to births and immigration, and decrease due to deaths and emigration. City $Z\text{'}$s birth$/$immigration rate is given by $B(t)=0\mathrm{.}25t^2+1$ thousand people per year

and its death$/$emigration rate is given by

$D(t)=\sqrt[\phantom{2}]{0\mathrm{.}5t}+1$ thousand people per year where $t$ is measured as years since $2010.B$ and $D$ are shown in the graph below. tho

$1$

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$5$

epopulation in $2014?$ The units of your answer should be 'people'.

Hint: $2014$ Population $=2010$ Population $-($area from $t=0$ to $t=2($why is this?$))+($area from $t=2$ to $t=4).$ Be careful with units!

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