Proportional & Non-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 quantity is constant.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant.

Front

How can you identify a proportional relationship in a table?

Back

A proportional relationship can be identified in a table if the ratios of corresponding values are equal.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second measurement is 1.

Front

How do you find the unit rate from a ratio?

Back

To find the unit rate, divide the first quantity by the second quantity.

Front

What is the formula for calculating the rate of change?

Back

The rate of change is calculated using the formula: Rate of Change = \( \frac{\text{Change in y}}{\text{Change in x}} \) or \( \frac{y_2 - y_1}{x_2 - x_1} \).

Front

What operation do you use to find the unit rate?

Back

Division.

Front

If a table shows the values (2, 4), (3, 6), (4, 8), does it represent a proportional relationship?

Back

Yes, it represents a proportional relationship because the ratio is constant (2:1).

Front

If a table shows the values (1, 2), (2, 5), (3, 7), does it represent a proportional relationship?

Back

No, it does not represent a proportional relationship because the ratios are not constant.

Front

What is the slope of a line in a proportional relationship?

Back

The slope of a line in a proportional relationship is equal to the constant ratio of the two quantities.