## Description of the Continuous Model

I made a graph of some data. I graphed the continuous equation and difference equation of the data. These are the questions that follow...

1. Using the limit definition of derivative, can you make an argument as to why the continuous equation and difference equation are roughly the same?

I'(t) = aI(N-I)

2. In the above equation, determine the values that make I'(t) positive. Explain why this makes sense.