It is estimated that t years from now, the population of a certain community will be
P(t) = 56 - 15/(2t + 1) thousand people.
By how much will the population actually increase during the 6th year?
P(6)=0-[0(2t+1)-15(2) /2t+1)^2= 30/(2t+1)^2
I then plug in 6 into 30/(2t+1)^2 and I get 30/169
Then I will plug in (5) P(5)=30/2(5)+1)^2=30/256
I then minus P(6) & P(5) and this will give me the answer.
P(t)=.060327292
Did I do this right? Or have a just calculated the rate of growth? If I did calculate the rate of growth, then how do I calculate the population during the 6th year?
Any help is appreciated. As always, thank you for your time!
Yana
P(t) = 56 - 15/(2t + 1) thousand people.
By how much will the population actually increase during the 6th year?
P(6)=0-[0(2t+1)-15(2) /2t+1)^2= 30/(2t+1)^2
I then plug in 6 into 30/(2t+1)^2 and I get 30/169
Then I will plug in (5) P(5)=30/2(5)+1)^2=30/256
I then minus P(6) & P(5) and this will give me the answer.
P(t)=.060327292
Did I do this right? Or have a just calculated the rate of growth? If I did calculate the rate of growth, then how do I calculate the population during the 6th year?
Any help is appreciated. As always, thank you for your time!
Yana