Question
A study recently estimated that a city of P thousand people can expect to have C incidents of crime in
a year, according to the function
C(P)=0.04P^2
One particular city has 1,500,000 residents, and the population is growing at an instantaneous rate of
12,000 people per year. Given this, compute the instantaneous rate of change of the incidents of
crime with respect to time, measured in incidents per year. Give your answer as a numerical value (no
labels), and if necessary, round to the nearest integer.