Rate of Change

Front

What is the rate of change?

Back

The rate of change is a measure of how much a quantity changes in relation to another quantity. It is often expressed as a ratio or a slope.

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How do you calculate the average rate of change?

Back

The average rate of change between two points is calculated by taking the difference in the values of the function at those points and dividing it by the difference in the input values.

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What does a positive rate of change indicate?

Back

A positive rate of change indicates that as one quantity increases, the other quantity also increases.

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What does a negative rate of change indicate?

Back

A negative rate of change indicates that as one quantity increases, the other quantity decreases.

Front

What is the formula for rate of change?

Back

Rate of Change = (Change in Output) / (Change in Input) or (y2 - y1) / (x2 - x1).

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What is the significance of a zero rate of change?

Back

A zero rate of change indicates that there is no change in the output value as the input value changes; the function is constant.

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What is a slope in the context of rate of change?

Back

The slope is a measure of the steepness of a line, representing the rate of change between two points on a graph.

Front

How can you interpret a slope of 25 words per minute?

Back

A slope of 25 words per minute means that for every minute that passes, 25 words are written.

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What does a non-linear rate of change mean?

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A non-linear rate of change means that the relationship between the variables does not form a straight line; the rate of change varies.

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How do you find the rate of change from a graph?

Back

To find the rate of change from a graph, select two points on the line, determine their coordinates, and apply the slope formula.