FYI: The problem is supposed to say "The bluegill population in a pond can be modeled by the function given.
Just help me find the answer to each question, and show me how I would find each answer. Thanks!
+129846 I know a few
1. y intercept....let t = 0 and we have that
y = 1000 / [ 1 + 9e^(-.4(0)) ] = 1000/ [ 1 + 9(1) ] = 1000/ 10 = 100
2. asymptotes
No vertical asymptotes since the exponential in the denominator is never negative....so....the denominator is never = 0
Horizontal asymptote........as t gets larger and larger, the exponential at the bottom approaches 0
So.....the horizontal asymptote is
y = 1000 / [ 1 + 0 ] = 1000
3. Don't know this one
4. After 15 years...there will be 1000 / [ 1 + 9e^(-.4 * 15) ] ≈ 978 bluegills
