Constant of Proportionality Flashcard Review

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, indicating how one quantity changes in relation to another.

Front

How do you find the constant of proportionality from a graph?

Back

To find the constant of proportionality from a graph, identify two points on the line, calculate the change in the y-values and the change in the x-values, and then divide the change in y by the change in x.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity of one.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the total quantity by the number of units. For example, if you have 624 calories in 3 servings, the unit rate is 624 ÷ 3 = 208 calories per serving.

Front

What does it mean if a relationship is proportional?

Back

A relationship is proportional if two quantities maintain a constant ratio or rate.

Front

If 5 bags of luggage weigh 150 pounds, what is the weight of 1 bag?

Back

To find the weight of 1 bag, divide 150 pounds by 5 bags, which equals 30 pounds per bag.

Front

What is the formula for finding the constant of proportionality?

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

If the constant of proportionality is 9, what does this indicate?

Back

This indicates that for every 1 unit of the independent variable, the dependent variable increases by 9 units.

Front

What is the unit rate of 30 words per minute?

Back

The unit rate of 30 words per minute means that for every minute, 30 words are read or written.

Front

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

Back

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