Input/Output Tables

Front

What is an input/output table?

Back

An input/output table is a mathematical tool used to show the relationship between input values (independent variable) and output values (dependent variable) based on a specific rule or function.

Front

What does it mean to find the rule in an input/output table?

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Finding the rule in an input/output table involves determining the mathematical operation or function that relates the input values to the output values.

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How do you identify a pattern in an input/output table?

Back

To identify a pattern, look for consistent changes between input and output values, such as addition, subtraction, multiplication, or division.

Front

What is the significance of a constant difference in an input/output table?

Back

A constant difference indicates a linear relationship, where the output changes by the same amount for each change in the input.

Front

What does a positive rule indicate in an input/output table?

Back

A positive rule indicates that as the input increases, the output also increases.

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What does a negative rule indicate in an input/output table?

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A negative rule indicates that as the input increases, the output decreases.

Front

How can you express the rule of an input/output table algebraically?

Back

The rule can be expressed in the form of an equation, such as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the first step in solving an input/output table problem?

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The first step is to analyze the given input and output values to identify any patterns or rules.

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What is the role of the independent variable in an input/output table?

Back

The independent variable is the input value that you can control or change, which affects the output value.

Front

What is the role of the dependent variable in an input/output table?

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The dependent variable is the output value that depends on the input value.