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 is constant.

Front

Define unit rate.

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity of one.

Front

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

Back

To find the constant of proportionality, divide one quantity by the other for each pair of values. If the ratio is constant, that value is the constant of proportionality.

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx, where k is the constant of proportionality.

Front

If an object weighs 42 lbs on Earth, how much does it weigh on the Moon if the ratio is 1:6?

Back

7 lbs.

Front

What does the slope of a line represent in a graph of a proportional relationship?

Back

The slope represents the constant of proportionality between the two quantities.

Front

How can you determine if two quantities are proportional?

Back

Two quantities are proportional if their ratios are equivalent or if they can be represented by a straight line through the origin on a graph.

Front

What is the unit rate if 3 miles are traveled in 1 hour?

Back

The unit rate is 3 miles per hour.

Front

If the cost of 1 pound of apples is $2, what is the cost of 5 pounds?

Back

The cost is $10.

Front

What is the constant of proportionality if a sloth moves 30 feet in 5 minutes?

Back

The constant of proportionality is 6 feet per minute.