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

How can you identify a proportional relationship from a graph?

Back

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

Front

Which equation represents a proportional relationship? y = 2x + 1 or y = 3x?

Back

y = 3x represents a proportional relationship because it can be expressed as y = kx, where k is a constant.

Front

What does it mean if a table represents a proportional relationship?

Back

If a table represents a proportional relationship, the ratios of the values in the table are constant.

Front

Does the equation y = 4x + 2 represent a proportional relationship?

Back

No, because it does not pass through the origin.

Front

What is the constant of proportionality?

Back

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

Front

If a graph shows points (2, 6) and (4, 12), does it represent a proportional relationship?

Back

Yes, because the ratio of y to x is constant (3 in this case).

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

Can a proportional relationship be represented by a linear equation?

Back

Yes, a proportional relationship can be represented by a linear equation of the form y = kx.

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.