Proportional Relationships

Front

What is a Proportional Relationship?

Back

A relationship between two quantities where the ratio of one quantity to the other is constant.

Front

How do you find the constant of proportionality (k)?

Back

Divide the dependent variable (y) by the independent variable (x) in a proportional relationship: k = y/x.

Front

What does the equation y = kx represent?

Back

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

Front

If a machine packs boxes at a rate of 2/3 a box every 1/2 a minute, how many boxes does it pack in one minute?

Back

4/3 boxes.

Front

What is a Ratio?

Back

A comparison of two quantities.

Front

What does it mean for a table of values to be proportional?

Back

The ratios of the corresponding values in the table are constant.

Front

If y = 3x, what is the value of y when x = 4?

Back

y = 12.

Front

What is the difference between proportional and non-proportional relationships?

Back

In proportional relationships, the ratio is constant; in non-proportional relationships, the ratio changes.

Front

How can you tell if a graph represents a proportional relationship?

Back

If the graph is a straight line that passes through the origin (0,0), it is proportional.

Front

What is the equation for a proportional relationship if k = 5?

Back

y = 5x.