The population of a small town can be modeled by the function , where p is measured in thousands and t is the number of years after 2008. Find the limit of the difference quotient for p, to obtain a function that represents the instantaneous rate of change of population at time t. Use the results to find the instantaneous rate of change of the population of the town in 2024 to the nearest person/yr.
A) ; 25600 people/yr
B) ; 6400 people/yr
C) ; 200 people/yr
D) ; 50 people/yr

Question

The population of a small town can be modeled by the function  , where p is measured in thousands and t is the number of years after 2008. Find the limit of the difference quotient for p, to obtain a function  that represents the instantaneous rate of change of population at time t. Use the results to find the instantaneous rate of change of the population of the town in 2024 to the nearest person/yr.
A) ; 25600 people/yr 
B) ; 6400 people/yr 
C) ; 200 people/yr 
D) ; 50 people/yr

Quizplus · Accepted Answer

The Answer of The population of a small town can be modeled by the function  , where p is measured in thousands and t is the number of years after 2008. Find the limit of the difference quotient for p, to obtain a function  that represents the instantaneous rate of change of population at time t. Use the results to find the instantaneous rate of change of the population of the town in 2024 to the nearest person/yr.
A) ; 25600 people/yr 
B) ; 6400 people/yr 
C) ; 200 people/yr 
D) ; 50 people/yr

The Population of a Small Town Can Be Modeled by the Function