Linear model
To mathematically model a situation means to represent it in mathematical terms. The particular representation used is called a
mathematical model of the situation. A
linear model is a linear function used to represent particular situation.
$f(x) = mx + b \qquad$ \t
Examples
There are currently 50 movies on your hard drive, and this number is growing by 2 per week. Model the size of your collection as a function of time.
Model:
$N(t) = 50 + 2t\qquad $ \t