6.2.13 Check You Understanding Questions

1. The double number line shows how much water and how much lemonade powder to mix to make different amounts of lemonade. Make a table that represents the same situation.

Answer explanation

You are a showing understanding of equivalent ratio in a table.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

2. A bread recipe uses 3 tablespoons of olive oil for every 2 cloves of crushed garlic. Complete the table to show different-sized batches of bread that taste the same as the recipe. olive oil (tablespoons): 3, 1, 2, 5, 10; crushed garlic (cloves): 2, __, __, __, __.

Answer explanation

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

At this rate, how far does she travel in each of these intervals of time? a. 1 hour b. 3 hours c. 6.5 hours

Answer explanation

1. a. 36 miles. 1 hour is half of 2 hours, so half of 72 is 36. She traveled 36 miles in 1 hour.

2. b. 108 miles. Since the rate is 36 miles per hour, to find her distance in 3 hours, multiply 36 by 3. She traveled 108 miles in 3 hours.

3. c. 234 miles. Multiply the rate by 6.5. She traveled 234 miles in 6.5 hours.

Tags

CCSS.7.RP.A.2D

Lin and Diego travel in cars on the highway at constant speeds. During the first half hour, Lin travels 23 miles while Diego travels 25 miles. Who was traveling faster. Show or explain your work.

Answer explanation

1. Diego traveled faster because he covered more distance than Lin in the same amount of time.

Tags

CCSS.4.NF.A.2

Lin and Diego travel in cars on the highway at constant speeds. After stopping for lunch, they travel at different speeds. To travel the next 60 miles, it takes Lin 65 minutes and it takes Diego 70 minutes. Who was traveling faster? Show or explain your work.

Answer explanation

1. Lin traveled faster because she covered the same distance as Diego but in less time.

Tags

CCSS.6.NS.B.3

A sports drink recipe calls for 5/3 tablespoons of powdered drink mix for every 12 ounces of water. How many batches can you make with 5 tablespoons of drink mix and 36 ounces of water?

• 1 batch

• 2 batches

• 3 batches

• 4 batches

Answer explanation

Tags

CCSS.7.RP.A.1

In this cube, each small square has side length 1 unit. What is the surface area of this cube?

Tags

CCSS.7.EE.B.3

In this cube, each small square has side length 1 unit. What is the volume of this cube?

Tags

CCSS.7.EE.B.3

If a smoothie recipe requires 1 cup of yogurt for every 8 ounces of fruit, how many smoothies can you make with 4 cups of yogurt and 32 ounces of fruit?

A paint mixture requires 1 gallon of blue paint for every 3 gallons of white paint. How many mixtures can you make with 2 gallons of blue paint and 9 gallons of white paint?

• 1 mixture

• 2 mixtures

• 3 mixtures

• 4 mixtures

Tags

CCSS.6.RP.A.3B