Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What does the equation y = mx represent?

Back

In the equation y = mx, 'm' represents the constant of proportionality, which is the ratio of y to x.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value 'm' in the equation y = mx, indicating how much y changes for a unit change in x.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

How can you determine if a table of values represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values are constant.

Front

What is the equation for a proportional relationship if the constant of proportionality is 1/2?

Back

The equation is y = 1/2x.

Front

If y = 5x, what happens to y when x is doubled?

Back

When x is doubled, y also doubles, maintaining the proportional relationship.

Front

What is the graph of a proportional relationship?

Back

The graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

If a table shows values (2, 6), (4, 12), (6, 18), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is constant (3).

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, the ratio of y to x is not constant.