8.EE.5: Constant of Proportionality

Front

What is the constant of proportionality?

Back

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

Front

Identify the constant of proportionality for the equation y = 8x.

Back

k = 8

Front

How do you find the constant of proportionality from a table of values?

Back

Divide the output value (y) by the input value (x) for any pair of corresponding values.

Front

What is the unit rate?

Back

The unit rate is the constant of proportionality expressed as a ratio of two quantities where the second quantity is one.

Front

If y = kx, what does k represent?

Back

k represents the constant of proportionality.

Front

Identify the constant of proportionality for the graph where the line passes through (0,0) and (4,16).

Back

k = 4 (since 16/4 = 4).

Front

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

Back

It means that the two variables are not proportional; as one variable increases, the other remains constant.

Front

If the constant of proportionality is 5, what is the value of y when x = 3?

Back

y = 5 * 3 = 15.

Front

What is the relationship between the constant of proportionality and slope in a graph?

Back

The constant of proportionality is equal to the slope of the line in a graph of proportional relationships.

Front

Identify the constant of proportionality for the equation y = 1/4x.

Back

k = 1/4.