Question

If you are given a graph, an equation, and a table; each representing a different linear function how would you determine which one has the greatest rate of change

Answer 1

you would simply calculate the slope for each, a graph it is easy because you simply get two points on the graph and solve for it (y2-y1/x2-x1), an equation if it is in slope intercept form, the coefficient of x is the slope, from a table you use a similar method to a graph except you grab two values/instances, let's say in a table the numbers are presented like this:

3 4

2 6

You would then simply do the same thing for solving for the slope (y2-y1/x2-x1). In this instance it would be 6-2/4-3=4/1

All of these would give you the rate of change as the slope is the rate of change.

Explanation: