An environmental study indicates that the average daily level$$P$$of a certain pollutant in the air in parts per million can be modeled by the equation

P$=0\mathrm{.}25$

$0\mathrm{.}5$n$2+4$n$+24$

$,$

where$$n$$is the number of residents of the community in thousands. Find the rate at which the level of pollutant is increasing $($in parts per million per thousand people$)$ when the population of the community is$17,000$people$.($Round your answer to three decimal places.$)$

When the population of the community is$17,000$people$,$ the level of pollutant is increasing by$$parts per million per thousand people.