Logistic Growth Model -- Population of fish

xxMsJojoxx

Junior Member
Joined
Oct 6, 2020
Messages
54
use a graphing calculator and this scenario: the population of a fish farm in t years is modeled by the equation:
1602098798348.png

Q: What is the initial population of fish? --- Do I just solve for P(t), by substituting t as 0? So the answer is 100.
Q: To the nearest whole number, what will the fish population be after 2 years? -- Do I solve for P(t), by subsituting t as 2? So the answer is 269.
1602099140447.png
 
"Initial" is the same as t = 0. Yes.

Is there a decimal place in that final result?

How did you use your "graphing calculator"?

It's not clear to me where you might be struggling, other than confidence in your understanding. Doing well. No need to doubt.
 
I get P(2) = 269.487, when I avoid rounding until the end; otherwise I would have said that you rounded incorrectly. 269.54 rounds to 270!

Otherwise, good work.
 
You are doing fine! Do job!

I just ask one thing. Please do not write that p(t) = [MATH]\dfrac{1000}{1+9e^{(-.06)(2)}}[/MATH]. Instead write p(2)= [MATH]\dfrac{1000}{1+9e^{(-.06)(2)}}[/MATH]
 
Top