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 in the equation y = kx?

Back

The constant of proportionality is the value 'k' that represents the ratio of y to x.

Front

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

Back

3

Front

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

Back

A graph represents a proportional relationship if it passes through the origin (0,0) and forms a straight line.

Front

What does the ordered pair (x, y) represent in a proportional relationship?

Back

The ordered pair (x, y) represents the quantities of two related variables, where y is proportional to x.

Front

If a recipe calls for 2 cups of sugar for every 5 cups of flour, how much sugar is needed for 15 cups of flour?

Back

6 cups of sugar.

Front

What is the formula to find the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x.

Front

Is the relationship between distance and time at a constant speed proportional?

Back

Yes, the relationship is proportional because distance increases at a constant rate as time increases.

Front

If a graph shows a straight line that does not pass through the origin, is it proportional?

Back

No, it is not proportional.

Front

What is the relationship between the variables in a proportional equation?

Back

In a proportional equation, as one variable increases, the other variable increases or decreases at a constant rate.