Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant value that relates two proportional quantities. It is the ratio of one quantity to another when the two quantities are directly proportional.

Front

Identify the constant of proportionality in the equation y = kx.

Back

In the equation y = kx, k represents the constant of proportionality.

Front

If a car travels 90 miles in 2 hours, what is the constant of proportionality (speed)?

Back

The constant of proportionality (speed) is 45 mph.

Front

What does a constant of proportionality of k = 1.50 indicate?

Back

It indicates that for every unit increase in x, y increases by 1.50 units.

Front

If the constant of proportionality is 8, what is the relationship between x and y in the equation y = 8x?

Back

For every unit increase in x, y increases by 8 units.

Front

What is the constant of proportionality if a recipe requires 2 cups of flour for every 3 cups of sugar?

Back

The constant of proportionality is 2/3, meaning for every 3 cups of sugar, 2 cups of flour are used.

Front

How can you determine if a relationship is proportional using a table of values?

Back

A relationship is proportional if the ratio of y to x is constant for all pairs of values.

Front

What is the constant of proportionality in the relationship represented by the equation y = 4x?

Back

The constant of proportionality is 4.

Front

If a plant grows 0.5 inches per day, what is the constant of proportionality for its growth?

Back

The constant of proportionality is 0.5 swings / 1 day.

Front

Which of the following represents a proportional relationship: (1,2), (2,4), (3,6)?

Back

Yes, because the ratio of y to x is constant (y/x = 2).