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Rate of Change
A rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable, then
rate of change = change in y / change in x
Rates of change can be positive or negative. This corresponds to an increase or decrease in the y -value between the two data points. When a quantity does not change over time, it is called zero rate of change.
Positive rate of change
When the value of x increases, the value of y increases and the graph slants upward.
Negative rate of change
When the value of x increases, the value of y decreases and the graph slants downward.
Zero rate of change
When the value of x increases, the value of y remains constant. That is, there is no change in y value and the graph is a horizontal line .
Example: Use the table to find the rate of change. Then graph it.
A rate of change is a rate that describes how one quantity changes in relation to another quantity.
rate of change = change in y / change in x
= change in distance / change in time
= 160 − 80 / 4 − 2
= 80/2
= 40/1
= 40
The rate of change is 40/1 or 40 . This means a vehicle is traveling at a rate of 40 miles per hour.
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