Real-World Applications of Ratios and Rates

This video tutorial covers sixth-grade math concepts focusing on ratios, including their introduction, language, and examples. It explores measurement units, volume, and surface area calculations, and the use of double number line diagrams. The tutorial also delves into equivalent ratios, constant speed, and representing ratios with tables and diagrams. Finally, it provides strategies for solving various ratio problems.

In a fruit basket, if the ratio of bananas to apples is 9 to 4, what is the ratio of apples to plums?

• 4 to 9

• 9 to 3

• 3 to 4

• 4 to 3

If a cube has a side length of 3 cm, what is its surface area?

• 27 square centimeters

• 54 square centimeters

• 81 square centimeters

• 36 square centimeters

In a recipe for fizzy grape juice, the ratio of cups of sparkling water to grape juice concentrate is 3 to 1. Which of the following ratios would result in the same taste?

• 5 to 2

• 6 to 2

• 9 to 4

• 2 to 1

If a parallelogram has a base of 7 units and a height of 3 units, what is its area?

• 21 square units

• 24 square units

• 18 square units

• 30 square units

In a recipe for tropical fruit punch, if you use 12 cups of pineapple juice with 20 cups of orange juice, how will the taste compare to the original recipe?

• It will taste more like orange.

• It will taste less sweet.

• It will taste more like pineapple.

• It will taste the same.

If a car travels 30 feet in 2 seconds, what is its speed in feet per second?

• 10 feet per second

• 20 feet per second

• 15 feet per second

• 30 feet per second

How much does one bag of frozen vegetables cost if four bags are sold for $11.96?

• $2.50

• $4.00

• $3.50

• $2.99

If Claire earns $18 in one hour, how many seconds does it take her to earn 25 cents?

• 100 seconds

• 50 seconds

• 75 seconds

• 200 seconds

What is the equivalent ratio of 60 to 45?

• 4 to 3

• 2 to 1

• 3 to 2

• 5 to 4

How much will the caterer pay for 21 pounds of pasta if 8 pounds cost $12?

• $25.50

• $30.00

• $28.00

• $31.50