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

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often expressed in the equation y = kx.

Front

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

Back

A relationship is proportional if the ratios of corresponding values are equal.

Front

What is a unit rate?

Back

A unit rate is a rate in which the denominator is 1.

Front

Write the equation for a proportional relationship with a constant of proportionality of 5.

Back

y = 5x

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

How do you find the unit rate from a ratio of 12 miles in 3 hours?

Back

Divide 12 by 3 to get a unit rate of 4 miles per hour.

Front

What does it mean if a relationship is not proportional?

Back

It means that the ratio of the two quantities is not constant.

Front

If the equation is y = 2.5x, what is the unit rate?

Back

The unit rate is 2.5.

Front

How can you express a proportional relationship using a graph?

Back

A proportional relationship can be expressed as a straight line that passes through the origin on a graph.