Ratios & Proportional Relationships

Front

What is the constant of proportionality (K)?

Back

The constant of proportionality (K) is a constant value that relates two proportional quantities. It is the ratio of one quantity to another when they are in a proportional relationship.

Front

What is the equation form of a proportional relationship?

Back

A proportional relationship can be written as an equation in the form y = kx.

Front

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

Back

The constant of proportionality (K) 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 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.

Front

If K = 10, what is the value of y when x = 5?

Back

y = kx = 10 * 5 = 50.

Front

What is the relationship between ratios and proportions?

Back

A ratio is a comparison of two quantities, while a proportion states that two ratios are equal.

Front

If the ratio of boys to girls in a class is 2:3, what is the constant of proportionality?

Back

The constant of proportionality can be found by expressing the ratio as a fraction: 2/3.

Front

What is a direct variation?

Back

A direct variation is a specific type of proportional relationship where one variable is a constant multiple of another.

Front

If y = 4x, what happens to y if x is doubled?

Back

If x is doubled, y will also double, since they are in a proportional relationship.