Chapter 5, Problem 24RE

Height of a Weed The growth of the yellow nutsedge weed is described by a logistic growth formula $f\left(t\right)$ of type (9) in Section 5.4. A typical weed has length $8$ centimetres after $9$ days and length $48$ centimetres after $25$ days and reaches length $55$ centimetres at maturity. Find the formula for $f\left(t\right)$.

Logistic growth formula $f\left(t\right)$ of type (9) in Section 5.4 is: 

$f(t)=\frac{M}{1+B{e}^{-Mkt}}$.