Ratios, Rates, and Unit Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed in the form a:b or a/b.

Front

How can a ratio be expressed?

Back

A ratio can be expressed in three ways: as a fraction (a/b), with a colon (a:b), or in words (a to b).

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'x per 1 unit of y'.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity by the number of units. For example, if a person earns $20.40 in 3 hours, the unit rate is $20.40 ÷ 3 = $6.80 per hour.

Front

What is the simplified form of the ratio 35:14?

Back

The simplified form of the ratio 35:14 is 5:2.

Front

If a field trip costs $60 for 20 bags of popcorn, what is the cost per bag?

Back

The cost per bag is $60 ÷ 20 = $3 per bag.

Front

What is the relationship between ratios and rates?

Back

A rate is a specific type of ratio that compares two different kinds of quantities, such as distance to time (e.g., miles per hour).

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD).

Front

What is the calorie burn rate if Hilbert burns 120 calories in 30 minutes?

Back

Hilbert's calorie burn rate is 120 calories ÷ 30 minutes = 4 calories per minute.

Front

If Hilbert burns 120 calories in 30 minutes, how many calories does he burn in 1 hour?

Back

In 1 hour (60 minutes), Hilbert burns 120 calories ÷ 30 minutes × 60 minutes = 240 calories.