Proportional Relationships in Tables CAASPP REVIEW

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

How do you identify a proportional relationship in a table?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k'.

Front

If you travel 150 miles on 5 gallons of gas, what is the constant of proportionality in miles per gallon?

Back

30 miles per gallon.

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, the ratio between the quantities changes and is not constant.

Front

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

Back

Divide the value of one quantity by the corresponding value of the other quantity.

Front

If a table shows (2, 6), (4, 12), (6, 18), what is the constant of proportionality?

Back

3 (since 6/2 = 12/4 = 18/6 = 3).

Front

What is the formula for finding the constant of proportionality?

Back

k = y/x, where y is the dependent variable and x is the independent variable.

Front

If a car travels at a constant speed of 45 miles per hour, how far will it travel in 3 hours?

Back

135 miles (45 miles/hour * 3 hours).

Front

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

Back

The relationship between distance and time when traveling at a constant speed.