Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented in the equation y = kx.

Front

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

Back

The constant of proportionality is 10.

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a proportional relationship where y is directly proportional to x.

Front

How do you determine if a table of values is proportional?

Back

A table of values is proportional if the ratios of corresponding values are constant.

Front

What is a unit rate?

Back

A unit rate is a rate in which the denominator is 1.

Front

If 4 apples cost $2, what is the unit rate?

Back

The unit rate is $0.50 per apple.

Front

How many cups of sugar are needed for 10 cups of flour if the ratio is 1:2?

Back

5 cups of sugar are needed.

Front

What is the formula to find the constant of proportionality?

Back

The formula to find the constant of proportionality is k = y/x.

Front

If the constant of proportionality is 3, what is the equation for y when x = 5?

Back

y = 3 * 5 = 15.