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 remains constant as the values change.

Front

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

Back

To find the constant of proportionality from a table, divide the value of one quantity by the corresponding value of the other quantity.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

How do you calculate the unit rate from a total?

Back

To calculate the unit rate, divide the total quantity by the number of units.

Front

What does 'proportional relationship' mean?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

Write the equation for a proportional relationship given a constant of proportionality k.

Back

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

Front

If k = 5, what is the proportional relationship equation?

Back

The equation is y = 5x.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio of the two quantities is constant and can be expressed as a straight line through the origin on a graph.

Front

What is the significance of the slope in a proportional relationship graph?

Back

In a proportional relationship graph, the slope represents the constant of proportionality.

Front

If Justin types 408 words in 4 minutes, how do you find his typing speed per minute?

Back

Divide the total words by the total minutes: 408 words ÷ 4 minutes = 102 words per minute.