A colony of algae can support at most grams before nutrients are exhausted

MATHEMATICS · Subjective · AP · Calculus BC · Differential Equations · Differential Equations

Problem

A colony of algae can support at most

800

grams before nutrients are exhausted. If the proportionality constant is

k=0.02\,\text{day}^{-1}

and the current mass is

y

grams, write an expression for

\dfrac{dy}{dt}

that models the colony’s growth.