Constant of Proportionality Practice

Front

What is the constant of proportionality?

Back

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

Front

How do you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratio of the values in one column to the corresponding values in another column is constant.

Front

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

Back

The constant of proportionality is 3.

Front

What is the formula to find the constant of proportionality from a graph?

Back

The constant of proportionality can be found by selecting two points (x1, y1) and (x2, y2) on the line and calculating k = y/x.

Front

If a person earns $45 for 5 hours of work, what is the constant of proportionality in dollars per hour?

Back

$9 per hour.

Front

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

Back

It means that as the independent variable increases, the dependent variable increases at a rate faster than 1.

Front

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

Back

It means that as the independent variable increases, the dependent variable increases at a rate slower than 1.

Front

In the equation y = 4x, what does the number 4 represent?

Back

The number 4 represents the constant of proportionality.

Front

If a table shows (2, 6), (4, 12), and (6, 18), what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

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

Back

In a linear equation, the constant of proportionality is equivalent to the slope of the line.