The number of people who donated to a certain organization between 1975 and 1992 can be modeled by the equation donors,where t is the number of years after 1975.Find the inflection point(s)from through ,if any exist.
A) There are no inflection points from
B) There is one inflection point at
C) There are inflection points at
D) There is one inflection point at
E) There are inflection points at , ,

Question

The number of people who donated to a certain organization between 1975 and 1992 can be modeled by the equation  donors,where t is the number of years after 1975.Find the inflection point(s)from  through  ,if any exist. ​
A) There are no inflection points from 
B) There is one inflection point at 
C) There are inflection points at 
D) There is one inflection point at 
E) There are inflection points at , ,

Quizplus · Accepted Answer

An inflection point occurs when the second derivative changes sign. The given function is 11ea8970_69c4_5bb6_861b_bdc582c5f4cb_TB1301_11. Taking the derivative of this function twice will give us

f''(t) = 871920e^(0.092t)

which is always positive. Therefore, there are no inflection points in this interval.

The Number of People Who Donated to a Certain Organization