Rate of Change

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What is the definition of rate of change?

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

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What does a negative rate of change indicate?

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A negative rate of change indicates that the quantity is decreasing over time.

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What does a positive rate of change indicate?

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A positive rate of change indicates that the quantity is increasing over time.

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'm' represents the slope of the line, which is the rate of change of 'y' with respect to 'x'.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

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Front

What is the rate of change if a car travels 60 miles in 2 hours?

Back

Front

What is a constant rate of change?

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A constant rate of change means that the quantity changes at the same rate over time, resulting in a straight line on a graph.

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What is a non-linear rate of change?

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A non-linear rate of change means that the quantity changes at varying rates, resulting in a curve on a graph.

Front

If a line has a slope of -3, what does this mean in terms of rate of change?

Back

It means that for every unit increase in 'x', 'y' decreases by 3 units.

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