Tables/Graphs/Input/Output 5.4C,D,and 5.8C

Front

What is an input-output table?

Back

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

Front

What does the equation y = x + 2.5 represent?

Back

This equation shows a linear relationship where for every increase in x, y increases by 1, plus an additional 2.5.

Front

How do you determine if a relationship is additive or multiplicative?

Back

If the output changes by a constant amount as the input changes, it is additive. If the output changes by a constant factor, it is multiplicative.

Front

What is a coordinate pair?

Back

A coordinate pair is a set of two numbers (x, y) that represent a point on a graph, where x is the horizontal position and y is the vertical position.

Front

What does the term 'ordered pair' mean?

Back

An ordered pair is a pair of numbers used to locate a point on a graph, written in the form (x, y).

Front

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

Back

The slope indicates the steepness of the line and the rate of change between the x and y values.

Front

What does the equation y = 6x represent?

Back

This equation represents a linear function where the output y is six times the input x.

Front

How can you find a point that is 3 units over and 1 unit up from a given point D?

Back

To find the new point, add 3 to the x-coordinate of point D and add 1 to the y-coordinate.

Front

What is a graph?

Back

A graph is a visual representation of data or mathematical relationships, typically using a coordinate system.

Front

What is the purpose of a table of values in mathematics?

Back

A table of values organizes input-output pairs to help visualize and analyze relationships between variables.