Ratio, Rate, and Unit Conversion Problems

This video tutorial covers the concept of constant speed and its relation to ratios. It includes a mental math exercise on finding quotients by dividing by 10 and 100. An experiment is conducted to measure constant speed through walking, followed by data analysis to calculate speed. The tutorial compares speeds of different individuals and applies these concepts to real-world scenarios. Additional exercises on speed, ratios, and unit rates are provided, along with a section on understanding and proving equivalent ratios.

What happens to the decimal point when dividing a number by 10?

• It moves one place to the left.

• It moves two places to the left.

• It stays the same.

• It moves two places to the right.

In the experiment, what is the purpose of the 1-meter warmup zone?

• To mark the end of the experiment.

• To measure the speed of the runner.

• To time the runner's start.

• To allow the runner to get up to speed.

If a person walks 10 meters in 5 seconds, what is their speed in meters per second?

• 2 m/s

• 1 m/s

• 5 m/s

• 3 m/s

Who ran faster: Lyn who ran 40 meters in 10 seconds or Diego who ran 55 meters in 10 seconds?

• Cannot be determined.

• They ran at the same speed.

• Diego

• Lyn

What is the unit rate of Han's speed if he ran 100 meters in 20 seconds?

• 4 m/s

• 5 m/s

• 6 m/s

• 7 m/s

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

• 10 ft/s

• 15 ft/s

• 20 ft/s

• 25 ft/s

How many grams of flour are needed for 6 large eggs if 150 grams are used per egg?

• 1050 grams

• 750 grams

• 900 grams

• 600 grams

What is the cost of one bag of frozen vegetables if four bags cost $11.96?

• $3.49

• $3.99

• $2.99

• $2.49

If a cargo ship travels 150 nautical miles in 6 hours, how far does it travel in 1 hour?

• 20 nautical miles

• 25 nautical miles

• 30 nautical miles

• 35 nautical miles

What is the ratio of ears to paws for three cats if each cat has two ears and four paws?

• 6:12

• 3:4

• 2:4

• 4:8