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

How can you identify a proportional relationship from a table?

Back

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

Front

What is the constant of proportionality in the equation y = kx?

Back

The constant of proportionality (k) is the number that relates the two variables in a proportional relationship.

Front

If a recipe requires 2 cups of flour for every 3 cups of sugar, is this a proportional relationship?

Back

Yes, because the ratio of flour to sugar (2:3) is constant.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second term is 1.

Front

Calculate the unit rate for 405 rotations in 5 minutes.

Back

81 rotations per minute.

Front

What does the point (2, 94) represent in a proportional relationship?

Back

After 2 weeks, they save $94.

Front

How do you determine 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 (0,0).

Front

Is the graph of y = 2x proportional?

Back

Yes, because it is a straight line that passes through the origin.

Front

What does it mean if a graph does not represent a proportional relationship?

Back

It means that the relationship between the variables is not constant and does not maintain a fixed ratio.