Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant ratio or factor that relates two quantities that are directly proportional to each other.

Front

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

Back

To find the constant of proportionality from a table, divide the value of one quantity by the corresponding value of the other quantity for any pair of values.

Front

What is the formula for calculating the constant of proportionality?

Back

The formula is k = y/x, where k is the constant of proportionality, y is the dependent variable, and x is the independent variable.

Front

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

Back

The constant of proportionality is 3.

Front

What does it mean if two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio to each other.

Front

How can you determine if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What is the significance of the slope in a proportional relationship graph?

Back

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

Front

In the context of a word problem, how do you identify the constant of proportionality?

Back

Identify the relationship between the two quantities and calculate the ratio of the dependent variable to the independent variable.

Front

What is the constant of proportionality if Craig earns $37 for 4 hours?

Back

The constant of proportionality is $9.25 per hour.

Front

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

Back

The constant of proportionality is 3, as each y-value is 3 times the corresponding x-value.