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

Front

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

Back

The constant of proportionality is 2.

Front

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

Back

Divide the y-value by the corresponding x-value for any pair of values; the result will be the constant of proportionality.

Front

If Justin types 408 words in 4 minutes, how many words does he type per minute?

Back

102 words per minute.

Front

What does the graph of a proportional relationship look like?

Back

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

Front

If there are 3 cans that store 9 tennis balls, what is the constant of proportionality?

Back

3 tennis balls per can.

Front

What does the coordinate (4,2) represent in a proportional relationship?

Back

It represents 2 cups of sugar for 4 jam jars.

Front

How can you express a proportional relationship in an equation?

Back

You can express it as y = kx, where k is the constant of proportionality.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit.