Hello, js0810!

The enrollment at the University of Florida was 36,531 in 1990 and 48,673 in 2003.

a. Assuming the enrollment growth is linear, find a linear model/equation

that gives the enrollment in terms of t, where t=0 to the year 1900 (not a typo).

Let denote the enrollment in year .

Since represents the year 1900,

. . then is the number of yearsafter1900.

We are given two points: .

And we want the equation of the line through these two points.

The slope is: .

The equation of the line through (90, 35,531) and slope 934 is:

. .

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

An amusing thought struck me . . . That's a strange function.

It says: in the year 1900, there were -47,529 students enrolled.

Not only were there no students, there were over 47 thousand

. . who were actively opposed to attending UofF.

. . (probably picketing outside the campus gate)

Over the years the number of protesters gradually diminished

. . until in 1950, there were only 829 of them.

Then in 1951, the first 105 students enrolled . . .