Exploring Ratios and Unit Rates

The video tutorial covers the concepts of ratios, rates, and unit rates. It begins with definitions and examples, explaining how ratios compare two quantities using division and can be expressed in different forms. The tutorial then moves on to rates, which are ratios with different units, and unit rates, which have a denominator of one. The video includes practice exercises for writing ratios in various forms and solving problems involving rates and unit rates, emphasizing the importance of units and order in calculations.

Which of the following is NOT a correct way to write the ratio 3 to 4?

• 3/4

• 3 to 4

• 3:4

• 4:3

What is a rate?

• A ratio with a denominator of one

• A fraction with the same numerator and denominator

• A comparison of two quantities using division

• A ratio of two quantities with different units

How do you convert a rate to a unit rate?

• Subtract the denominator from the numerator

• Add the numerator and the denominator

• Divide the numerator by the denominator

• Multiply the numerator by the denominator

If you have 6 triangles and 2 squares, what is the ratio of triangles to squares using a colon?

• 3:1

• 2:6

• 6:2

• 1:3

In the scenario with 2 triangles and 6 squares, what is the ratio of triangles to total shapes using a fraction?

• 2/8

• 6/2

• 2/6

• 8/2

What is the ratio of 2 triangles to 6 squares using the word 'to'?

• 8 to 2

• 6 to 2

• 2 to 6

• 2 to 8

A car travels 60 miles in 2 hours. What is the unit rate in miles per hour?

• 120 miles per hour

• 15 miles per hour

• 60 miles per hour

• 30 miles per hour

A skydiver falls 144 feet in 12 seconds. What is the unit rate in feet per second?

• 12 feet per second

• 14 feet per second

• 10 feet per second

• 16 feet per second

If you score 84 points in 6 games, how many points do you score per game?

• 12 points

• 18 points

• 14 points

• 16 points

You spend $9.60 on 4 pounds of apples. What is the cost per pound?

• $2.20

• $2.40

• $2.00

• $2.60