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Rate of change is also known as slope.
Rate of change is the change in y divided by the change in x. Algebraically, you can use the delta symbol
(Δ) to represent change, so that it looks like:
How can you tell if a function has a constant rate of change? Click the following links:
From a Graph From a Table
Determining Constant Rate of Change from a Graph
A function has a constant rate of change if, for each amount traveled across, you travel the same amount
up (or down) to reach the line again. It looks like stairsteps if you draw them on the graph.
Determining Constant Rate of Change from a Table
In a table, there is a constant rate of change if the ratio of the difference between entries on the x-side
and y-side stays the same. This is easier to show with tables than to write, so let’s take a look at
some examples.
