Suppose that the population of a certain city during a certain time period can be approximated by $P ( x ) = - 0.1 x ^ { 5 } + 3.5 x ^ { 4 } + 4000$ , where x is time in years since 2010. By sketching a graph of P(x), estimate during what time period the population of the city would be increasing.
A) Between 2010 and 2024
B) Between 2015 and 2045
C) Between 2015 and 2038
D) Between 2010 and 2038

Question

Quizplus · Accepted Answer

The population is increasing when the graph of P(x) is increasing. The graph of P(x) is increasing between x = 0 and x = 2038.

Suppose That the Population of a Certain City During a Certain