QuestionThe population of a city, $P(t)$, is given by the function $P(t)=14 t^{2}+820 t+42000$, where $t$ is time in years. Note: $t=0$ corresponds to the year 2000. a) When will the population reach 56224 ?

Studdy Solution
Interpret the solution $t = 14$ in terms of the year:
Since $t = 0$ corresponds to the year 2000, $t = 14$ corresponds to the year:
$$2000 + 14 = 2014$$
The population will reach 56224 in the year:
$$\boxed{2014}$$