Unit 5: Review Ratio and Proportionality 2024

Front

What is the Constant of Proportionality?

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 the two quantities are directly proportional.

Front

How do you determine if two ratios form a proportion?

Back

Two ratios form a proportion if their cross products are equal. For example, if you have the ratios a/b and c/d, they form a proportion if a*d = b*c.

Front

Back

w = 5

Front

If hamburger meat sells for $6 for every 3 pounds, how much does 1 pound cost?

Back

1 pound costs $2.

Front

If Alicia buys 10 pounds of hamburger meat at $6 for every 3 pounds, how much will she pay?

Back

Alicia will pay $20.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as a fraction, decimal, or with a colon (e.g., 3:2).

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

What is the formula for finding the unit rate?

Back

The unit rate is found by dividing the quantity by the number of units. For example, if 6 apples cost $3, the unit rate is $3/6 = $0.50 per apple.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

What does it mean if two quantities are directly proportional?

Back

Two quantities are directly proportional if they increase or decrease at the same rate, meaning their ratio remains constant.