Proportional and Non Proportional

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 constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities in the equation y = kx.

Front

How do you find the calories per serving if there are 624 calories in 3 servings?

Back

Divide the total calories by the number of servings: 624 calories ÷ 3 servings = 208 calories per serving.

Front

What is the equation for a proportional relationship?

Back

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

Front

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

Back

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

Front

If a table shows values (1, 2), (2, 4), (3, 6), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is always 2.

Front

What does it mean if a relationship is non-proportional?

Back

A non-proportional relationship means that the ratio between the two quantities is not constant.

Front

If a table has values (1, 2), (2, 5), (3, 7), is it proportional?

Back

No, it is not proportional because the ratios are not constant.

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

What is an example of a non-proportional relationship?

Back

An example is the relationship between the number of items purchased and the total cost when there is a fixed fee added.