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 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 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How can you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of the corresponding values are constant.

Front

What does it mean if a table is not proportional?

Back

If a table is not proportional, it means that the ratios of the corresponding values are not constant.

Front

What is the equation of a proportional relationship?

Back

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

Front

Identify the constant of proportionality in the equation y = 3x.

Back

The constant of proportionality is 3.

Front

What is the significance of the origin in proportional relationships?

Back

In a proportional relationship, the graph will always pass through the origin (0,0), indicating that when one quantity is zero, the other is also zero.

Front

How do you find the unit rate from a given quantity?

Back

To find the unit rate, divide the total quantity by the number of units. For example, 405 rotations in 5 minutes gives a unit rate of 405 ÷ 5 = 81 rotations per minute.

Front

Which equation does NOT represent a proportional relationship: y = 5x - 7 or y = 3x?

Back

y = 5x - 7 does NOT represent a proportional relationship because it does not pass through the origin.

Front

If concrete blocks weigh 28 pounds each, what is the equation relating weight (w) and number of blocks (b)?

Back

The equation is 28b = w.