5.1 Constant of Proportionality Review

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio of the two quantities remains constant.

Front

What is the unit rate?

Back

The unit rate is the ratio of a quantity to one unit of another quantity, often expressed as 'per' something (e.g., dollars per ounce).

Front

If a box of cereal costs $3.59 for 30 oz, how do you find the unit rate?

Back

Divide the total cost by the total ounces: $3.59 ÷ 30 oz = $0.1197, which rounds to 12 cents per ounce.

Front

What does it mean if a table does not show a proportional relationship?

Back

It means that the ratios of the quantities do not remain constant across the table.

Front

How can you find the constant of proportionality from a set of values?

Back

You can find it by dividing the dependent variable (y) by the independent variable (x) for any pair of values: k = y/x.

Front

What is the formula to find the constant of proportionality?

Back

The formula is k = y/x.

Front

If a 6-ounce package contains 45 pieces, how many pieces are in a 10-ounce package?

Back

Set up a proportion: 6 oz / 45 pieces = 10 oz / x pieces. Solving gives x = 75 pieces.

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities increase or decrease at the same rate, maintaining a constant ratio.

Front

What is the significance of the constant of proportionality in real-world problems?

Back

It helps to understand how two quantities relate to each other, allowing for predictions and calculations.