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

If you have 10 apples and 5 oranges, what is the ratio of apples to oranges?

Back

The ratio of apples to oranges is 10:5 or simplified to 2:1.

Front

How do you determine if two quantities are proportional?

Back

Two quantities are proportional if their ratios are equal when comparing different pairs of values.

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 a recipe calls for 4 cups of flour for every 2 cups of sugar, what is the constant of proportionality?

Back

The constant of proportionality is 2, since for every 4 cups of flour, there are 2 cups of sugar.

Front

What does it mean if a graph represents a proportional relationship?

Back

If a graph represents a proportional relationship, it will be a straight line that passes through the origin (0,0).

Front

How can you tell if an equation represents a proportional relationship?

Back

An equation represents a proportional relationship if it can be written in the form y = kx, where k is a non-zero constant.

Front

If you travel 300 miles using 10 gallons of gas, how many miles do you travel per gallon?

Back

You travel 30 miles per gallon.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not maintain a constant ratio.