SOLUTION: The logistic growth function f(t) = (( https://angel.spcollege.edu/AngelUploads/QuestionData/0adf3ea0-7ca4-4161-985c-2c8923067cd6/4756V45K61M34Z2J1642.jpg )) describes the populati

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Question 688330: The logistic growth function f(t) = (( https://angel.spcollege.edu/AngelUploads/QuestionData/0adf3ea0-7ca4-4161-985c-2c8923067cd6/4756V45K61M34Z2J1642.jpg )) describes the population of a species of butterflies tmonths after they are introduced to a non-threatening habitat. How many butterflies are expected in the habitat after 19 months?
I got 283 butterflies ?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
f%28t%29+=+440%2F%281%2B4.5%2Ae%5E%28-0.11%2At%29%29

f%2819%29+=+440%2F%281%2B4.5%2Ae%5E%28-0.11%2A19%29%29

f%2819%29+=+440%2F%281%2B4.5%2Ae%5E%28-2.09%29%29

f%2819%29+=+440%2F%281%2B4.5%2A0.123687%29

f%2819%29+=+440%2F%281%2B0.5565915%29

f%2819%29+=+440%2F%281.5565915%29

f%2819%29+=+282.668895

Round up to get 283. So there are roughly 283 butterflies, which means you are 100% correct.