Ratios, Proportions, and Rates

This video tutorial reviews Unit 2, focusing on understanding and applying ratios. It covers various examples, including animals, recipes, and speed comparisons, to illustrate how ratios work. The tutorial also explains how to use double number line diagrams and solve problems involving equivalent ratios. The session concludes with a series of practice problems to reinforce the concepts learned.

Which of the following is a correct way to express the ratio of 6 dogs to 4 cats?

• 6:4

• 6 to 4

• 6/4

• All of the above

If there are 3 dogs for every 2 cats, how many dogs are there if there are 8 cats?

• 6 dogs

• 4 dogs

• 10 dogs

• 12 dogs

What is the equivalent ratio of 9 cups of seeds to 6 tablespoons of syrup if reduced by a third?

• None of the above

• 6 cups of seeds to 4 tablespoons of syrup

• 3 cups of seeds to 2 tablespoons of syrup

• 1 cup of seeds to 1 tablespoon of syrup

How many teaspoons of red water are needed for four batches if the original recipe calls for 1 teaspoon per batch?

• 2 teaspoons

• 3 teaspoons

• 4 teaspoons

• 5 teaspoons

If a train travels 25 meters in one second, how far will it travel in 4 seconds?

• 50 meters

• 75 meters

• 100 meters

• 125 meters

Andre ran 2 km in 15 minutes. How long would it take him to run 6 km at the same speed?

• 60 minutes

• 45 minutes

• 30 minutes

• 75 minutes

What is the cost per bag of rice if 2 bags cost $3?

• $1.50

• $1.00

• $2.00

• $2.50

If a recipe for cookies uses 5 cups of flour and 2 teaspoons of vanilla, how much flour is needed for 3 batches?

• 15 cups

• 25 cups

• 10 cups

• 20 cups

In a tape diagram, if the total area is 189 square feet and the ratio is 4:3:2, what is the area of the kitchen?

• 42 square feet

• 105 square feet

• 63 square feet

• 84 square feet

If a cyclist travels 380 meters in 20 seconds, how far will they travel in 3 seconds at the same speed?

• 57 meters

• 95 meters

• 114 meters

• 76 meters