Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often expressed as a unit rate.

Front

How do 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

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity.

Front

If a table shows values of x and y, how can you find the constant of proportionality?

Back

You can find the constant of proportionality by dividing y by x for any pair of corresponding values.

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if it can be represented by a straight line through the origin on a graph.

Front

How can you identify a non-proportional relationship?

Back

A non-proportional relationship can be identified if the ratios of corresponding values are not constant.

Front

What is the formula to calculate the constant of proportionality from given values?

Back

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

Front

In the context of calories and servings, how do you find the calories per serving?

Back

To find calories per serving, divide the total calories by the number of servings.

Front

What is the significance of the constant of proportionality in real-world applications?

Back

The constant of proportionality helps to understand relationships between quantities, such as speed, density, and cost per item.

Front

Can a proportional relationship have a constant of proportionality equal to zero?

Back

No, a proportional relationship cannot have a constant of proportionality equal to zero, as this would imply no relationship between the variables.