Proportional Relationship 7RP2

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 quantity is constant.

Front

What is the constant of proportionality (k)?

Back

The constant of proportionality (k) is the constant value that relates two proportional quantities, often represented as the ratio of y to x in the equation y = kx.

Front

How can you find the constant of proportionality from a graph?

Back

You can find the constant of proportionality from a graph by determining the slope of the line, which represents the ratio of the change in y to the change in x.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit, often used to find the constant of proportionality.

Front

How can a proportional relationship be represented in an equation?

Back

A proportional relationship can be represented in the form y = kx, where k is the constant of proportionality.

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin, it indicates that there is a proportional relationship between the two variables.

Front

What is the significance of the slope in a proportional relationship?

Back

The slope in a proportional relationship represents the constant of proportionality (k) and indicates how much y changes for a unit change in x.

Front

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

Back

A table represents a proportional relationship if the ratios of corresponding values (y/x) are constant.

Front

What is the relationship between proportional relationships and direct variation?

Back

Proportional relationships are a type of direct variation where one variable is a constant multiple of another.

Front

What is an example of a real-world proportional relationship?

Back

An example of a real-world proportional relationship is the relationship between distance and time when traveling at a constant speed.