Constant of Proportionality Review Game

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant ratio between two variables that are directly proportional to each other.

Front

How do you calculate the constant of proportionality from a set of data?

Back

To calculate the constant of proportionality, divide one variable by the other variable when they are directly proportional.

Front

If Janet used 155 beads to create 5 necklaces, what is the constant of proportionality?

Back

31 (155 beads ÷ 5 necklaces = 31 beads per necklace).

Front

What does a greater constant of proportionality indicate in a graph?

Back

A greater constant of proportionality indicates a steeper slope in the graph, meaning that as one variable increases, the other variable increases at a faster rate.

Front

What is the relationship between the constant of proportionality and the slope of a line in a graph?

Back

The constant of proportionality is equal to the slope of the line when the relationship between the two variables is linear.

Front

What is the constant of proportionality for the equation y = 8x?

Back

8 (the constant of proportionality is the coefficient of x).

Front

What is the constant of proportionality for the equation y = 16x?

Back

16 (the constant of proportionality is the coefficient of x).

Front

In the context of proportional relationships, what does 'all of the above' refer to?

Back

It refers to multiple correct answers regarding the definition or properties of the constant of proportionality.

Front

How can you represent a constant of proportionality in a table?

Back

By showing pairs of values where the ratio of the dependent variable to the independent variable remains constant.

Front

What is an example of a real-world situation that involves a constant of proportionality?

Back

If a car travels 60 miles in 1 hour, the constant of proportionality is 60 miles per hour.