6.3 The Logistic Growth Differential Equation

Checkpoint 4

  1. Carry out the same algebraic transformation in the specific case represented by

    `P=(10,000 e^(0.09t))/(990+10 e^(0.09t))`,

    to get a formula for the fruit fly population that involves `e^(-0.09t)` as the only exponential.

  2. Check your work by verifying directly that your function has the value `10` when `t` is `0` and approaches `1000` as `t` becomes large.