12.9.24 Per 7 Review Proportional Relationships

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how many units of one quantity correspond to one unit of another quantity.

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, if you have 72 ounces for 12 servings, the unit rate is 72 ÷ 12 = 6 ounces per serving.

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if two quantities maintain a constant ratio or rate. This means that as one quantity increases or decreases, the other does so in a consistent manner.

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

Identify the constant of proportionality in the equation y = 6x.

Back

The constant of proportionality is 6.

Front

What is the difference between proportional and non-proportional relationships?

Back

In proportional relationships, the ratio between the two quantities remains constant, while in non-proportional relationships, the ratio changes.

Front

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

Back

A graph represents a proportional relationship if it passes through the origin (0,0) and forms a straight line.

Front

What does the slope of a line represent in a proportional relationship?

Back

The slope of a line in a proportional relationship represents the constant of proportionality, indicating how much one quantity changes in relation to another.

Front

If a graph shows 2 boys for every 1 girl, what is the rate of change?

Back

The rate of change is 2 boys for every 1 girl.

Front

What is the equation for a graph with a slope of 46?

Back

The equation is y = 46x.