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 unit rate?

Back

The unit rate is the ratio of two measurements in which the second measurement is 1. For example, if a car travels 60 miles in 1 hour, the unit rate is 60 miles per hour.

Front

What does k represent in the equation y = kx?

Back

k represents the constant of proportionality, which is the ratio of y to x in a proportional relationship.

Front

How do you determine if a relationship is proportional from a table?

Back

A relationship is proportional if the ratios of the corresponding values are constant. If you can express y as a constant multiple of x, the relationship is proportional.

Front

Write the equation for the proportional relationship where the constant of proportionality is 3.

Back

y = 3x

Front

If y = 14x, what is the constant of proportionality?

Back

The constant of proportionality is 14.

Front

What is the formula to find the unit rate from a given rate?

Back

To find the unit rate, divide the total quantity by the total time or the total number of items.

Front

If a recipe requires 2 cups of flour for every 3 cups of sugar, what is the constant of proportionality?

Back

Front

How can you express a proportional relationship in equation form?

Back

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

Front

What is the graph of a proportional relationship?

Back

The graph of a proportional relationship is a straight line that passes through the origin (0,0).