Proportionality of graphs tables and equations 7th Grade

Front

What is the constant of proportionality in a graph?

Back

The constant of proportionality is the ratio of the output value to the input value in a proportional relationship, often represented as 'k' in the equation y = kx.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0).

Front

What does the point (0,0) represent in a proportional graph?

Back

The point (0,0) represents the origin, indicating that when the input is zero, the output is also zero.

Front

How do you identify the unit rate from a graph?

Back

The unit rate can be identified as the ordered pair where the input is 1, showing the output value at that input.

Front

What is the unit rate in the ordered pair (1,16)?

Back

The unit rate is 16, meaning for every 1 unit of input, the output is 16.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship is y = kx, where k is the constant of proportionality.

Front

If a graph has a constant of proportionality of 3, what is the output when the input is 4?

Back

The output is 12, calculated as y = 3 * 4.

Front

What does a straight line through the origin indicate about a relationship?

Back

A straight line through the origin indicates a direct proportional relationship between the two variables.

Front

What is the significance of the slope in a proportional graph?

Back

The slope of a proportional graph represents the constant of proportionality.

Front

If the constant of proportionality is 6, what is the output when the input is 5?

Back

The output is 30, calculated as y = 6 * 5.