Proportional or Not?

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio or relationship to each other.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship occurs when the ratio between two quantities is not constant.

Front

If Mrs. Govin makes 3 cakes, how many cups of sugar does she need?

Back

6 cups of sugar (2 cups per cake x 3 cakes = 6 cups).

Front

If the number of hours worked doubles, what happens to the pay if the pay is proportional to hours worked?

Back

The pay also doubles.

Front

What is the formula for finding a proportional relationship?

Back

y = kx, where k is the constant of proportionality.

Front

If a recipe requires 4 cups of flour for 2 cakes, is the relationship between cakes and flour proportional?

Back

Yes, because the ratio of flour to cakes (4 cups/2 cakes = 2 cups per cake) is constant.

Front

What is the constant of proportionality in the equation y = 3x?

Back

The constant of proportionality is 3.

Front

If you have 10 apples and 5 oranges, is the relationship between apples and oranges proportional?

Back

No, because the ratio (10 apples to 5 oranges) does not maintain a constant relationship.

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 (0,0).

Front

What is an example of a non-proportional relationship in real life?

Back

The cost of a phone plan that has a fixed monthly fee plus a charge per minute.