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 tell if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of the corresponding values are equal.

Front

What does the constant of proportionality (k) represent?

Back

The constant of proportionality (k) represents the factor by which one quantity changes in relation to another in a proportional relationship.

Front

Write the equation for a proportional relationship where k = 0.5.

Back

y = 0.5x.

Front

What is the graph of a proportional relationship like?

Back

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

Front

If the constant of proportionality is 3, what is the price (p) if the weight (w) is 4?

Back

p = 3w; p = 3(4) = 12.

Front

What does the point (1, 5) represent in a proportional relationship?

Back

It represents that when the first quantity is 1, the second quantity is 5.

Front

Is the relationship represented by the equation y = 2x proportional?

Back

Yes, because it can be expressed as a constant ratio.

Front

What is the constant of proportionality in the equation p = 0.45w?

Back

The constant of proportionality is 0.45.

Front

How do you find the constant of proportionality from a table?

Back

Divide the value of one quantity by the corresponding value of the other quantity.