Constant Rate of Change

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What is a constant rate of change?

Back

A constant rate of change refers to a situation where the change in one quantity is consistent with the change in another quantity over time, often represented as a linear relationship.

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CCSS.HSF-LE.A.1B

Front

How can you determine if a graph represents a proportional relationship?

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A graph represents a proportional relationship if it passes through the origin (0,0) and is a straight line.

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CCSS.7.RP.A.2D

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What is the formula for calculating the rate of change?

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The rate of change can be calculated using the formula: Rate of Change = (Change in y) / (Change in x).

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CCSS.HSF-LE.A.1B

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What does a slope of 4 CALORIES PER MIN indicate?

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It indicates that for every minute, the quantity of calories changes by 4.

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CCSS.HSF.LE.B.5

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How do you interpret a constant rate of change in a real-world context?

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In a real-world context, a constant rate of change can represent consistent speed, growth, or decline in various scenarios, such as speed in travel or growth in savings.

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CCSS.HSF-LE.A.1B

Front

What is the significance of the slope in a linear graph?

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The slope of a linear graph indicates the rate of change between the two variables represented on the axes.

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CCSS.8.EE.B.5

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What does it mean if one company shows a greater rate of change than another?

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It means that the first company is experiencing a faster increase or decrease in a particular quantity compared to the second company.

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CCSS.8.F.A.2

CCSS.HSF.IF.C.9

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How can you identify the rate of change from a table of values?

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To identify the rate of change from a table, calculate the difference in the dependent variable divided by the difference in the independent variable for two points.

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CCSS.HSF-LE.A.1B

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What is the relationship between proportional relationships and linear equations?

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Proportional relationships can be expressed as linear equations in the form y = kx, where k is the constant of proportionality.

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CCSS.8.EE.B.5

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What does it mean for a graph to be linear?

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A linear graph is one that forms a straight line, indicating a constant rate of change between the variables.