Unit Rates and Proportions

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how many units of one quantity correspond to one unit of another quantity.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the total quantity of one item by the total quantity of another item. For example, if a car travels 440 miles in 8 hours, the unit rate is 440 miles ÷ 8 hours = 55 miles per hour.

Front

If Zoe played 40 chords in 8 minutes, how many chords does she play per minute?

Back

Zoe plays 40 chords ÷ 8 minutes = 5 chords per minute.

Front

If Zoe practices for 5 minutes, how many chords will she play?

Back

If Zoe plays 5 chords per minute, in 5 minutes she will play 5 chords/minute × 5 minutes = 25 chords.

Front

What is the unit price of a 2-pack of plastic flower pots that costs $1.52?

Back

The unit price is $1.52 ÷ 2 = $0.76 or 76 cents per pot.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities. For example, the ratios 2:1 and 16:8 are equivalent because both simplify to 2:1.

Front

How do you determine if two ratios are equivalent?

Back

To determine if two ratios are equivalent, cross-multiply and compare the products. If the products are equal, the ratios are equivalent.

Front

What is the length of a rectangle if the width is 6 cm and the length to width ratio is 5:2?

Back

If the width is 6 cm, the length can be calculated as (5/2) × 6 cm = 15 cm.

Front

What is a proportion?

Back

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

Front

How can you solve a proportion?

Back

To solve a proportion, you can use cross-multiplication or find a common factor.