5.4C Input Output Tables

Front

What is an input-output table?

Back

An input-output table is a mathematical table that shows how each input value corresponds to an output value based on a specific rule or function.

Front

What does the equation y = x + 4.5 represent?

Back

This equation represents a linear relationship where for every input value x, the output value y is 4.5 units greater than x.

Front

How do you determine if a table of values represents a given equation?

Back

To determine if a table represents an equation, substitute the input values into the equation and check if the output values match.

Front

What is the rule for the relationship y = x + 2.05?

Back

The rule states that for every input x, the output y is 2.05 units greater than x.

Front

What does the equation y = 3x mean?

Back

This equation means that the output y is three times the input x.

Front

How can you identify a table that does not represent a specific equation?

Back

You can identify a table that does not represent a specific equation by checking if any of the output values do not match the results obtained from the equation.

Front

What is the purpose of using input-output tables in mathematics?

Back

Input-output tables help visualize the relationship between input and output values, making it easier to understand functions and equations.

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the term 'output' refer to in an input-output table?

Back

The output refers to the value that results from applying the function or rule to the input value.

Front

What does the term 'input' refer to in an input-output table?

Back

The input refers to the value that is put into the function or rule to obtain an output.