Identifying Proportional Relationships

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 is constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often expressed as y = kx.

Front

How do you determine if a relationship is proportional from a graph?

Back

A relationship is proportional if the graph is a straight line that passes through the origin (0,0).

Front

What is the formula for finding the constant of proportionality from a table?

Back

k = y/x, where y is the dependent variable and x is the independent variable.

Front

What does the equation y = kx represent?

Back

This equation represents a proportional relationship where y is directly proportional to x with k as the constant of proportionality.

Front

If k = 60 miles per hour, what does this mean in a real-world context?

Back

It means that for every hour, 60 miles are traveled, indicating a constant speed.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) signifies that when one quantity is zero, the other quantity is also zero, which is essential for proportionality.

Front

How can you identify the constant of proportionality from an equation like r = 3/14f?

Back

In the equation r = 3/14f, the constant of proportionality is 3/14.

Front

What does it mean if a table does not represent a proportional relationship?

Back

It means that the ratios of the quantities do not remain constant across the table.

Front

What is the ratio used to determine proportional relationships?

Back

The ratio used is y/x, where y is the dependent variable and x is the independent variable.