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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

How can you determine if a graph represents a proportional relationship?

Back

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

Front

What does the constant of proportionality represent in the equation y = kx?

Back

The constant of proportionality (k) represents the ratio of y to x in a proportional relationship.

Front

What is the constant of proportionality in the equation y = 6.5x?

Back

The constant of proportionality is 6.5.

Front

If a table shows values that do not maintain a constant ratio, what can be concluded?

Back

If a table does not maintain a constant ratio, it does not represent a proportional relationship.

Front

What is the significance of the origin in determining proportional relationships?

Back

The origin (0,0) is significant because a proportional relationship must pass through this point.

Front

Can a graph that does not pass through the origin be proportional?

Back

No, a graph that does not pass through the origin cannot be proportional.

Front

What is the formula for a proportional relationship?

Back

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

Front

How do you find the constant of proportionality from a graph?

Back

To find the constant of proportionality from a graph, determine the slope of the line, which represents k.

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, it means that the ratio of the two quantities is not constant.