Finding the Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant ratio between two quantities that are directly proportional to each other.

Front

According to the graph above, if 5 bags of luggage weigh 150 pounds, what is the weight of 1 bag?

Back

30 pounds.

Front

What is the constant of proportionality for the table above if the values are (1, 1/2), (2, 1), (3, 3/2)?

Back

1/2.

Front

What is the constant of proportionality of the graph above if the line passes through the origin and has a slope of 10?

Back

10.

Front

If the constant of proportionality is 1, what does that imply about the relationship between the two quantities?

Back

The two quantities are equal.

Front

How do you find the constant of proportionality from a graph?

Back

Identify the slope of the line, which represents the constant of proportionality.

Front

If a recipe requires 2 cups of flour for every 3 cups of sugar, what is the constant of proportionality for flour to sugar?

Back

2/3.

Front

What does it mean if the constant of proportionality is 0?

Back

It means that the two quantities are not changing; one is always zero.

Front

If the constant of proportionality is 4, what is the value of y when x = 5 in the equation y = kx?

Back

y = 20.

Front

What is the relationship between the constant of proportionality and direct variation?

Back

In direct variation, the constant of proportionality is the constant factor that relates the two variables.