The tallest escalator on the London Underground system is at Angel Station. It rises to a height of 90 feet over a horizontal distance of 200 feet. Let e(x) be the height of one of the escalator's steps as a function of the horizontal distance from the bottom step.
The f(x) table
x | f(x)
-5 | -1 1\9
-4 | -8\9
0 | 0
2 | 4\9
3 | 2\3

Find and compare the rate of change of e(x) and ƒ(x). Which function has the greater rate of change and by how much?