Multiple representations 7.4A, 7.7A

Front

What is a table in mathematics?

Back

A table is a systematic arrangement of data, usually in rows and columns, that shows the relationship between different variables.

Front

What is a graph in mathematics?

Back

A graph is a visual representation of data that shows the relationship between two or more variables, typically using points, lines, or bars.

Front

What does 'rate of change' mean?

Back

Rate of change refers to how much a quantity changes in relation to another quantity, often expressed as a ratio or a slope in a graph.

Front

How do you write an equation for a linear relationship?

Back

A linear relationship can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.

Front

How can you determine the total cost from a word problem?

Back

To determine the total cost, identify the fixed costs and variable costs, then create an equation that combines them.

Front

What is a linear equation?

Back

A linear equation is an equation that represents a straight line when graphed, typically in the form y = mx + b.

Front

How do you interpret a graph?

Back

To interpret a graph, analyze the axes, identify the variables, and observe the trends or patterns in the data.

Front

What is the relationship between a table and a graph?

Back

A table can be used to create a graph, as both represent the same data in different formats.