Proportional Relationships Review

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 is the equation of a direct variation?

Back

The equation of a direct variation is in the form y = kx, where k is a non-zero constant.

Front

Is the equation y = -6x a direct variation?

Back

Yes, because it can be expressed in the form y = kx with k = -6.

Front

What does it mean if a relationship is not proportional?

Back

It means that the ratio between the two quantities is not constant.

Front

If y varies directly with x, what happens to y if x is doubled?

Back

If x is doubled, y will also double.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor (k) in the equation y = kx.

Front

How do you determine if a set of points represents a proportional relationship?

Back

You can determine this by checking if the ratios of y to x are the same for all points.

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, is this a proportional relationship?

Back

Yes, because the ratio of flour to sugar is constant.

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.