We all know that with an exponential function, we can use it to approximate population. With a logistic function, it simply adds on a carrying capacity to the population (Where the population cannot grow anymore at a certain level):

L

---------

1 + Ce^(-kt)

where,Lis the carrying capacity

t- time in years

andk/Care constants

I have a question asking me to compare the predicted population using the logistic function and compare it to the governments population prediction method.

All I could think of is to graph it to show the scatterplot discrepancies and to use percentage error to show how accurate/inaccurate the logistic function would fit into the real population the government has predicted.

(Of course, I have assumptions to be made on the function)

Now, I think the question given is really ahigh-ordermaths question.. so I thought if algebra can come into this?

Anyone have any idea to make the answer to this question ahigher-ordermaths level? If its using algebra, please teach me. Cheers!

Any help would be very much appreciated~