Linear Relationship Test

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two quantities that are directly proportional to each other. It is a constant value that describes how one quantity changes in relation to another.

Front

In the relationship between the number of teachers and students, what does a constant of proportionality of 13 mean?

Back

It means that for every 13 students, there is 1 teacher. This indicates a direct relationship between the number of students and teachers.

Front

If 2 inches on a model represents 1 foot on the actual statue, what is the scale factor?

Back

The scale factor is 1:6, meaning that 1 inch on the model represents 6 inches (or 0.5 feet) on the actual statue.

Front

What does the equation y=12x represent?

Back

This equation represents the relationship between years (x) and months (y), indicating that there are 12 months in each year.

Front

If an airplane's fuel tank is filled at a rate of 150 gallons per minute, how many gallons are in the tank after 5 minutes?

Back

After 5 minutes, there would be 750 gallons in the tank (150 gallons/minute * 5 minutes).

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph, indicating a constant rate of change.

Front

How do you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified by a straight line that passes through the origin (0,0) on a graph.

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where k is the constant, y is the dependent variable, and x is the independent variable.

Front

What does it mean if a graph is not linear?

Back

If a graph is not linear, it means that the relationship between the variables is not constant and may involve curves or varying rates of change.

Front

What is the significance of the slope in a linear equation?

Back

The slope of a linear equation represents the rate of change between the two variables, indicating how much y changes for a unit change in x.