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

How do you find the constant of proportionality?

Back

The constant of proportionality can be found by dividing one quantity by the other in a proportional relationship.

Front

If you travel 150 miles on 5 gallons, how far do you travel per gallon?

Back

30 miles.

Front

Which equation does NOT represent a proportional relationship: y = -2x, y = 1/2 x, y = 3x, y = 5x - 7?

Back

y = 5x - 7.

Front

What is the equation for the table if the output is double the input?

Back

y = 2x.

Front

What is the constant of proportionality if y = 9x?

Back

9.

Front

Is the graph of y = 3x proportional or non-proportional?

Back

Proportional.

Front

What does it mean if two quantities are directly proportional?

Back

It means that as one quantity increases, the other quantity increases at a constant rate.

Front

If the constant of proportionality is $4, what is the equation for the relationship?

Back

y = 4x.

Front

What is the slope of the line in a proportional relationship?

Back

The slope is equal to the constant of proportionality.