Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k'. It shows how one quantity changes in relation to another.

Front

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

Back

A table represents a proportional relationship if the ratio of the values in one column to the corresponding values in another column is constant.

Front

If 3 servings contain 624 calories, what is the constant of proportionality?

Back

208 calories per serving.

Front

What does a proportional relationship look like on a graph?

Back

A proportional relationship on a graph is represented by a straight line that passes through the origin (0,0).

Front

Identify the constant of proportionality in the equation y = 3x.

Back

The constant of proportionality is 3.

Front

What is the formula to find the constant of proportionality?

Back

The formula is k = y/x, where y is the dependent variable and x is the independent variable.

Front

If a car travels 150 miles in 3 hours, what is the constant of proportionality (speed)?

Back

50 miles per hour.

Front

Which of the following represents a proportional relationship: (2,4), (3,6), (4,8)?

Back

Yes, all pairs represent a proportional relationship with a constant of proportionality of 2.

Front

What is the constant of proportionality if y = 1.5x?

Back

The constant of proportionality is 1.5.

Front

How can you tell if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal.