Constant Rate of Change

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What is the constant rate of change?

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The constant rate of change is the rate at which one quantity changes in relation to another quantity, remaining consistent over time. For example, if a car travels at a constant speed of $41 per month, it means it covers the same distance every month.

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

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To calculate the rate of change from a table, subtract the initial value from the final value and divide by the time interval. For example, if the values are 12 and 18 over 3 months, the rate of change is (18 - 12) / 3 = 2.

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What does a rate of change of 6 indicate?

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A rate of change of 6 indicates that for every unit increase in the independent variable, the dependent variable increases by 6 units. This represents a linear relationship.

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What does a negative rate of change signify?

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A negative rate of change signifies that as one quantity increases, the other quantity decreases. For example, a rate of change of -3 means that for every unit increase in the independent variable, the dependent variable decreases by 3 units.

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What is a non-linear relationship?

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A non-linear relationship is one where the rate of change is not constant. This means that the slope of the graph changes at different points, indicating that the relationship between the variables is not proportional.

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How can you identify a constant rate of change from a graph?

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A constant rate of change can be identified from a graph by a straight line. If the line is straight, it indicates that the relationship between the two variables is linear and the rate of change is constant.

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What is the formula for calculating the rate of change?

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If a quantity increases by $5 per hour, what is the constant rate of change?

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The constant rate of change is $5 per hour, meaning that for every hour, the quantity increases by $5.

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What does a rate of change of 2 mean in a real-world context?

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A rate of change of 2 means that for every unit increase in the independent variable, the dependent variable increases by 2 units. For example, if you earn $2 for every hour worked, your earnings increase at a rate of 2.

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What is the significance of a constant slope in a linear equation?

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A constant slope in a linear equation indicates a constant rate of change. This means that the relationship between the two variables is predictable and consistent.