A pollution ratio in parts per million ppm is fiven by Att23

A pollution ratio in parts per million (ppm) is fiven by A(t)=(t^2+3)^3 for t in years and 0<(or equal to)t<(or equal to)5 where t=0 means 2008.

1. Give the pollution ratio in 2009?

2. What was the average rate of change from 2008 to 2010?

3, How will A(t) be changing in 2010?

Solution

1)population ration for 2009 t=1

A(t)=(1+3)^3

   =64

2)avg. rate of change

A\'(t)=3(t^2+3)^2

       =(27+54+228)/3

         =76

3)A(t) for 2010= 343