Proportional Relationships Study Guide

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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.

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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 equivalent.

Front

If a recipe calls for 2 cups of flour and 1 cup of sugar, how much sugar is needed for 4 cups of flour?

Back

2 cups of sugar. (The ratio of flour to sugar is 2:1, so for 4 cups of flour, you need 2 cups of sugar.)

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as 'k'.

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Back

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality can be found using the formula: k = y/x, where y is the dependent variable and x is the independent variable.

Front

If Kenny types 280 words in 7 minutes, how many words does he type per minute?

Back

40 words per minute. (280 words ÷ 7 minutes = 40 words/minute.)

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when driving at a constant speed.

Front

How can you represent a proportional relationship using an equation?

Back

A proportional relationship can be represented by the equation y = kx, where k is the constant of proportionality.

Front

What does it mean for two quantities to be directly proportional?

Back

Two quantities are directly proportional if one quantity increases, the other quantity increases at a constant rate.