Constant of Proportionality Skills

Front

What is the constant of proportionality?

Back

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

Front

How do you find the constant of proportionality from a proportional relationship?

Back

To find the constant of proportionality (k), use the formula k = y/x, where y is the dependent variable and x is the independent variable.

Front

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

Back

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

Front

In the equation y = 4x, what is the constant of proportionality?

Back

The constant of proportionality is 4.

Front

If a car travels 150 miles in 3 hours, what is the constant of proportionality for miles per hour?

Back

The constant of proportionality is 50 miles per hour (150 miles / 3 hours).

Front

What does it mean if the constant of proportionality is greater than 1?

Back

If the constant of proportionality is greater than 1, it indicates that the dependent variable increases at a faster rate than the independent variable.

Front

What does it mean if the constant of proportionality is less than 1?

Back

If the constant of proportionality is less than 1, it indicates that the dependent variable increases at a slower rate than the independent variable.

Front

How can you express a proportional relationship in a table format?

Back

A proportional relationship can be expressed in a table by listing pairs of values (x, y) where y = kx for a constant k.

Front

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

Back

The slope of a line in a graph representing a proportional relationship is equal to the constant of proportionality (k).

Front

If y = 10 when x = 5, what is the constant of proportionality?

Back

The constant of proportionality is 2 (k = y/x = 10/5).