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

Identify the equation that does NOT represent a proportional relationship: y = -2x, y = 1/2 x, y = 3x, y = 5x - 7.

Back

y = 5x - 7 (because it has a constant term).

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second measurement is 1.

Front

If 12 books cost $59.88, what is the cost of one book?

Back

$4.99 (constant unit rate).

Front

How do you determine if two quantities are proportional?

Back

Check if the ratios of the two quantities are equal.

Front

What is the formula for finding the unit rate?

Back

Unit Rate = Total Quantity / Number of Units.

Front

If 119 miles are driven using 3.5 gallons of gas, what is the unit rate in miles per gallon?

Back

34 miles per gallon.

Front

What does it mean if a graph is a straight line through the origin?

Back

It indicates a proportional relationship between the two variables.

Front

How can you tell if an equation represents a proportional relationship?

Back

The equation must be in the form y = kx, where k is a constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor (k) in the equation y = kx.