Finding the Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is the ratio of the output (y) to the input (x) in a proportional relationship, expressed as k = y/x.

Front

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

Back

To find the constant of proportionality, divide the value of y by the value of x (k = y/x).

Front

If Layla builds 1 swing in 5 days, what is the constant of proportionality?

Back

k = 1/5.

Front

Write the equation for a proportional relationship where k = 4.

Back

y = 4x.

Front

What does it mean if a relationship is proportional?

Back

A relationship is proportional if the ratio of y to x is constant.

Front

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

Back

Check if the ratio of y to x is the same for all pairs of values.

Front

If a submarine dives 300 feet in 2 minutes, what is its diving rate per minute?

Back

150 feet per minute.

Front

What is the equation for a proportional relationship with a constant of proportionality of 4.5?

Back

y = 4.5x.

Front

If y = 6x, what is the constant of proportionality?

Back

k = 6.

Front

What is the formula to check for proportionality in a relationship?

Back

k = y/x.