Unit Rates and Conversion Factors

This video tutorial covers the concepts of unit rates and unit ratios, explaining the difference between them with examples. It demonstrates how to convert various units, such as feet to inches, miles to feet, and seconds to hours, using unit rates and ratios. The tutorial provides step-by-step calculations for each conversion, emphasizing the importance of setting up units diagonally to cancel them out effectively.

What is a unit ratio?

• A comparison of two different units

• A type of fraction

• A ratio where the denominator is one unit

• A measure of speed

Which of the following is an example of a unit rate?

• 16 oz to 1 pound

• 100 cm to 1 meter

• 12 inches to 1 foot

• 60 miles per hour

How many inches are in a foot?

• 10 inches

• 12 inches

• 16 inches

• 14 inches

What is the difference between a unit rate and a unit ratio?

• Neither involves speed

• Both involve speed

• A unit ratio involves speed, while a unit rate does not

• A unit rate involves speed, while a unit ratio does not

Which of the following is NOT a unit ratio?

• 16 oz to 1 pound

• 12 inches to 1 foot

• 100 cm to 1 meter

• 60 miles per hour

What is the first step in converting the remote control car's speed from feet per second to inches per second?

• Set up the unit rate

• Multiply by 10

• Divide by 12

• Convert seconds to minutes

How many inches per second does the remote control car travel?

• 130 inches per second

• 120 inches per second

• 110 inches per second

• 100 inches per second

What is the conversion factor from feet to inches?

• 1 foot = 16 inches

• 1 foot = 14 inches

• 1 foot = 12 inches

• 1 foot = 10 inches

What is the purpose of setting up a unit rate?

• To compare two different units

• To convert units

• To measure speed

• To find the average

What is the conversion factor from feet to inches?

• 1 foot = 10 inches

• 1 foot = 12 inches

• 1 foot = 16 inches

• 1 foot = 14 inches