Proportional Relationships

Front

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.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, expressed as y = kx.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the quantity by the number of units. For example, if you travel 80 miles in 2 hours, the unit rate is 80 miles / 2 hours = 40 miles per hour.

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, it means that the ratio between the two quantities is not constant.

Front

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

Back

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

Front

What is an example of a proportional relationship?

Back

An example of a proportional relationship is if a car travels 60 miles in 1 hour, it will travel 120 miles in 2 hours.

Front

What is the formula for finding the constant of proportionality?

Back

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

Front

If Taylor can write 25 words per minute, how many words can he write in 3 minutes?

Back

In 3 minutes, Taylor can write 25 words/minute * 3 minutes = 75 words.

Front

What is the unit rate of 160 miles in 4 hours?

Back

The unit rate is 160 miles / 4 hours = 40 miles per hour.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, is this a proportional relationship?

Back

Yes, this is a proportional relationship because the ratio of flour to sugar is constant.