Rates, Ratios, and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

What is a proportion?

Back

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

Front

How do you calculate the cost per pound?

Back

To calculate the cost per pound, divide the total cost of the item by its weight in pounds.

Front

What is the cost per pound of an 8-lb bag that costs $9.88?

Back

$1.23 per pound (calculated as $9.88 ÷ 8).

Front

What is the cost per pound of a 20-lb bag that costs $23.44?

Back

$1.17 per pound (calculated as $23.44 ÷ 20).

Front

What is the cost per pound of a 40-lb bag that costs $49.00?

Back

$1.23 per pound (calculated as $49.00 ÷ 40).

Front

What does it mean for ratios to be equivalent?

Back

Ratios are equivalent if they represent the same relationship between quantities.

Front

Are the ratios 5 dogs to 6 cats and 20 dogs to 24 cats equivalent?

Back

Yes, they are equivalent because both simplify to the same ratio of 5:6.

Front

How can you determine if two ratios form a proportion?

Back

Two ratios form a proportion if the cross products are equal.

Front

Do the ratios 8 feet in 15 seconds and 16 feet in 40 seconds form a proportion?

Back

No, they do not form a proportion because 8/15 is not equal to 16/40.