Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant value (k) that relates two proportional quantities, often expressed in the form y = kx.

Front

If Joshua types 84 words in 4 minutes, what is the constant of proportionality in words per minute?

Back

k = 21 words per minute.

Front

What is the formula for a proportional relationship?

Back

y = kx.

Front

If Maria swims 12 laps in 6 minutes, what is the constant of proportionality in laps per minute?

Back

k = 2 laps per minute.

Front

In the equation y = ½x, what is the constant of proportionality?

Back

k = 1/2.

Front

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

Back

Divide the dependent variable (y) by the independent variable (x) to find k.

Front

What does a constant of proportionality of 3 mean in a relationship between x and y?

Back

For every 1 unit increase in x, y increases by 3 units.

Front

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

Back

k = 5.

Front

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

Back

The constant of proportionality is the slope of the line in a graph of a proportional relationship.

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

k = 2/3.