A certain population of giraffes follows a logistic growth model. In the year 2000, the population was at $10\%$ of its capacity. In 2010, the population was $20\%$ of capacity. In what year does the population reach $75\%$ capacity?

How would I set up a differential equation? Thanks.


You get a doubling every 10 years. So in 2020 you will get to 40% capacity, 2030 to 80% etc. No differential equations required.

If you want an exact equation, use $p(t)=10\%·e^{c·t}$, so that $e^{10c}=2$ and $e^{cT}=7.5$ for the exact time $T$ (in years).

| cite | improve this answer | |

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.