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 ratio that describes how one quantity changes in relation to another in a proportional relationship.

Front

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

Back

To find the constant of proportionality from a table, divide the value of one quantity by the corresponding value of the other quantity.

Front

What is a unit rate?

Back

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

Front

If y = kx, what does k represent?

Back

In the equation y = kx, k represents the constant of proportionality.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is the constant of proportionality.

Front

If the constant of proportionality is 8, what is the value of y when x = 5?

Back

If k = 8 and x = 5, then y = 8 * 5 = 40.

Front

What does it mean if two quantities are directly proportional?

Back

If two quantities are directly proportional, it means that as one quantity increases, the other quantity increases at a constant rate.

Front

How can you represent a proportional relationship graphically?

Back

A proportional relationship can be represented graphically by a straight line that passes through the origin (0,0).

Front

What is the unit rate of 60 miles in 3 hours?

Back

The unit rate is 20 miles per hour (60 miles ÷ 3 hours).