Question

Based on census data, the population of Freedonia is modeled by the function P ( t ) = 325 t^2 + 28547 people, where t represents the number of years after 1990 . Use this function to determine how fast the population was increasing at the end of the year 1992 .

Answer 1

Answer:

dP/dt = 650t = 650(2 ) = 1,300 people/year

The rate of increasing of population at the end of the year 1992 is 1,300 people/year

Step-by-step explanation:

Given;

Population function as;

P(t) =325 t^2 + 28547

The rate of change of the population dP/dt at any given time can be given as;

Rate = change in population/change in time = dP/dt

dP/dt = 2×325t = 650t

Therefore, after 1992;

t = 1992-1990 = 2years

dP/dt = 650t = 650(2 ) = 1,300 people/year

The rate of increasing of population at the end of the year 1992 is 1,300 people/year