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

Identify the equation that does NOT represent a proportional relationship: y = -2x, y = 1/2 x, y = 3x, y = 5x - 7.

Back

y = 5x - 7 does NOT represent a proportional relationship because it does not pass through the origin.

Front

What is the unit rate?

Back

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

Front

Calculate the unit rate for 405 rotations in 5 minutes.

Back

81 rotations per minute.

Front

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

Back

It means that the ratio between the x and y values is constant.

Front

Determine if the following statement is true: 'The table is not proportional because the unit rate is not constant.'

Back

True, if the unit rate varies, the relationship is not proportional.

Front

What is the reciprocal of 7?

Back

1/7.

Front

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

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as k in the equation y = kx.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.