Understanding Unit Rates and Proportions

The video tutorial covers the concept of unit rate through example word problems. It explains how to calculate the cost of one apple using proportions and how to determine the duration of one song. The tutorial demonstrates setting up proportions, cross-multiplying, and solving for unknowns to find unit rates.

What is a unit rate?

• A rate for four units of a quantity

• A rate for three units of a quantity

• A rate for one unit of a quantity

• A rate for two different quantities

How do you set up a proportion?

• By adding two fractions

• By subtracting two fractions

• By equating two fractions

• By multiplying two fractions

If 3 apples cost $1.23, what is the cost of one apple?

• $0.60

• $0.50

• $0.70

• $0.41

What is the first step in solving a proportion problem?

• Divide the fractions

• Subtract the fractions

• Cross multiply the fractions

• Add the fractions

What is the result of cross multiplying 3x = 123?

• x = 41

• x = 42

• x = 44

• x = 43

How many songs did Savannah listen to in 24 minutes?

• 7 songs

• 6 songs

• 5 songs

• 4 songs

What is the duration of each song if 6 songs are played in 24 minutes?

• 3 minutes

• 4 minutes

• 6 minutes

• 5 minutes

In the song duration problem, what is placed in the denominator?

• Number of songs

• Total time

• Time per song

• Total songs

What is the unit of the final answer in the song duration problem?

• Seconds

• Days

• Minutes

• Hours

What is the key concept in solving unit rate problems?

• Proportion

• Subtraction

• Addition

• Division