The population of a town, in thousands, is described by the function p(t)= -1.5t^2 + 36t + 6, where t is the number of years after 2000.
a) What is the average rate of change in the population between the years 2000 and 2024?
b) Does your answer to part a) make sense? Does it mean that there was no change in the population from 2000 to 2024?
c) Explain your answer to part b) by finding the average rate of change in the population from 2000 to 2012 and from 2012 to 2024.
d) For what value of t is the instantaneous rate of change in the population 0?
The population of a town, in thousands, is described by the function p(t)= -1.5t^2 + 36t + 6, where t is the number of years after 2000. a) What is the average rate of change in the population between the years 2000 and 2024? b) Does your answer to part a) make sense? Do...
