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

In the equation y = kx, what does k represent?

Back

The constant of proportionality.

Front

What is the constant of proportionality in the equation y = 14x?

Back

14.

Front

How do you determine if a table represents a proportional relationship?

Back

Check if the ratios of y to x are constant for all pairs.

Front

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

Back

y = 12.

Front

What is the equation of a proportional relationship if the constant of proportionality is 5?

Back

y = 5x.

Front

If a recipe requires 2 cups of sugar for every 3 cups of flour, how much sugar is needed for 6 cups of flour?

Back

4 cups of sugar.

Front

Is the graph of a proportional relationship a straight line through the origin?

Back

Yes, it is.

Front

What does it mean if a graph is not proportional?

Back

It means the relationship does not have a constant ratio.

Front

If y = 1/2x, what is the constant of proportionality?

Back

1/2.