7 Acc 5.4 Exit Ticket

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, indicating how one quantity changes in relation to another. For example, in the relationship of 0.5 swings per day, the constant is 0.5.

Front

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

Back

A table represents a proportional relationship if the ratio of the values in one column to the values in another column is constant. For example, if the ratio remains the same across all pairs, it is proportional.

Front

What is a proportional relationship in the context of recipes?

Back

A proportional relationship in recipes means that the ingredients can be scaled up or down while maintaining the same ratio. For example, if a recipe calls for 4 tablespoons of butter for every 2 tablespoons of water, this ratio can be maintained regardless of the total amount.

Front

How do you find the cost per item in a pack of pens?

Back

To find the cost per item, divide the total cost of the pack by the number of items in the pack. This gives you the cost per individual item.

Front

What does it mean for a relationship to be described as 'proportional'?

Back

A relationship is described as 'proportional' when two quantities maintain a constant ratio, meaning that as one quantity increases or decreases, the other does so in a consistent manner.

Front

What is an example of a proportional relationship in everyday life?

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed. If you travel at 60 miles per hour, the distance traveled is proportional to the time spent traveling.

Front

What is the significance of identifying the constant of proportionality in a problem?

Back

Identifying the constant of proportionality helps in understanding the relationship between two variables and allows for predictions about one variable based on the other.

Front

How can you represent a proportional relationship using a graph?

Back

A proportional relationship can be represented on a graph as a straight line that passes through the origin (0,0). The slope of the line represents the constant of proportionality.

Front

What is the formula for finding the constant of proportionality?

Back

The formula for finding the constant of proportionality (k) is k = y/x, where y is the dependent variable and x is the independent variable.

Front

What is the difference between a proportional relationship and a non-proportional relationship?

Back

A proportional relationship has a constant ratio between two quantities, while a non-proportional relationship does not maintain a constant ratio, meaning the relationship can change.