Question

What is the y-intercept of the logistic growth model y = c ÷ (1 + ae^-rx)? Show the steps for calculation. What does this point tell us about the population?

Answer 1

Answer:

The answer is "$y=\frac{c}{1+a}$".

Step-by-step explanation:

Given:

$\bold{y=\frac{c}{1+ae^{-rx}}}$

For the y-intercept, the value x is =0

$y=\frac{c}{1+ae^{-r \times 0}}$

$y=\frac{c}{1+ae^{0}}$

$\therefore e^0 = 1$

$y=\frac{c}{1+a\times 1}}$

$\boxed{y=\frac{c}{1+a}}$