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 quantity is constant.

Front

What is the constant of proportionality?

Back

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

Front

How can you identify a proportional relationship on a graph?

Back

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

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is not proportional.

Front

If y = 2x, what is the constant of proportionality?

Back

The constant of proportionality is 2.

Front

If y = 6, what is the relationship between y and x?

Back

This indicates a non-proportional relationship because y does not change with x.

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality (k) can be found using the formula k = y/x.

Front

Which of the following represents a proportional relationship: y = 3x or y = x + 5?

Back

y = 3x represents a proportional relationship.

Front

What is the slope of a line that represents a proportional relationship?

Back

The slope of a line that represents a proportional relationship is equal to the constant of proportionality.

Front

If a table shows the values (1,2), (2,4), (3,6), is this a proportional relationship?

Back

Yes, this is a proportional relationship because the ratio of y to x is constant (2).