SOLUTION: It is estimated that t years from now, the population of a certain suburban community will be P(t) = 21 − (6/(t+1))thousand people. (a) What will the population of the comm

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Question 1093256: It is estimated that t years from now, the population of a certain suburban community will be
P(t) = 21 − (6/(t+1))thousand people.
(a) What will the population of the community be seven years from now?

20,250 people
(b) By how much will the population increase during the seventh year? (Round your answer to the nearest integer.)
? people



Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(a)
+P%287%29+=+21+-+6%2F%287%2B1%29++
+P%287%29+=+21+-+3%2F4+%7D%0D%0A%7B%7B%7B+P%287%29+=+20.25+ thousand
+20.25%2A1000+=+20250+ people
--------------------------------
(b)
I think they are counting the population at
the end of each year. Kind of makes sense.
What if the population jumped up in
December? That's still the same year.
So, by "during the year" I think they mean
from end of 6th year ( t=6 ) to end of
7th year ( t=7 )
------------------------------------------
+P%286%29+=+21+-+6%2F%286%2B1%29+
+P%286%29+=+21+-+6%2F7+
+P%286%29+=+21+-+.8571+
+P%286%29+=+20.143+ thousand
+P%286%29+=+20143+ people
------------------------------
+P%287%29+-+P%286%29+=+20250+-+20143+
+P%287%29+-+P%286%29+=+107+ people
Population increased by 107 during 7th year
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Get a 2nd opinion on this if you need to