09/30 Rate of change review

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What is the rate of change?

Back

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

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How do you calculate the rate of change from a table?

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To calculate the rate of change from a table, find the difference in the dependent variable (y) and divide it by the difference in the independent variable (x).

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What does a positive rate of change indicate?

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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?

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

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What is a proportional relationship?

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A proportional relationship is one in which two quantities maintain a constant ratio or rate of change.

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If the rate of change is $9 per hour, what does this mean?

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It means that for every hour that passes, the quantity increases by $9.

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What is the formula for rate of change?

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Rate of Change = (Change in y) / (Change in x) or (y2 - y1) / (x2 - x1).

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What is the rate of change if a car travels 150 miles in 3 hours?

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Rate of Change = 150 miles / 3 hours = 50 miles per hour.

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How do you interpret a rate of change of 1/4?

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A rate of change of 1/4 means that for every 1 unit increase in the independent variable, the dependent variable increases by 1/4 unit.

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What is the significance of the units in rate of change?

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The units in rate of change provide context for understanding how one quantity relates to another, such as dollars per pound or miles per hour.