Constant Rate of Change

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Constant Rate of Change

The meaning of the constant rate of change of a function can be seen when the variables X X change in fixed proportions and the Y Y do as well. 

For example, if the constant interval of the X X is 2 2 and also that of the Y Y is stable and does not vary from time to time.
The interval of the Y Y variables does not necessarily have to be equal to that of the X X for it to be considered a case of constant rate of change.
If the function is represented with a straight graph, it means that the rate of change is constant.
The rate of change is the slope of the function.

A constant rate of change is represented by a straight line, as seen in the following scheme:

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Given the following graph, determine whether function is constant

–9–9–9–8–8–8–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888999–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666000

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How can one identify the constant rate of change?

Let's see, the rate of change is constant if the following is true:

that when the variable X X increases from 4 4 to 5 5
and the Y Y increases by 8 8

then, when the variable X X grows from 102 102 to 103 103
also the Y Y increases by 8 8

Graph of the constant rate of change

Graph of the constant rate of change

Constant rate of change of a function


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Table of Constant Rate of Change

Table of constant rate of change

Representation of the function in table


Step graph of the constant rate of change

Step graph of constant rate of change


If you are interested in this article, you might also be interested in the following articles:

Rate of change of a function

Rate of change of a function represented graphically

Rate of change of a function represented by a table of values

Variable rate of change

Rate of change represented with steps in the function's graph

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