Analyzing Rates and Variables

The video tutorial explores the concept of equivalent ratios through a typing speed puzzle involving Amelo's claim of typing a 500-word essay in 5 minutes. The instructor demonstrates both a simple ratio calculation and a graphical method to analyze the claim. The video includes classroom activities on graphing car travel, river rise, and redwood growth using equivalent ratios.

What is the typing speed claimed by Amelio?

• 420 words per minute

• 500 words per minute

• 100 words per minute

• 84 words per minute

How can we verify Amelio's typing claim using a graph?

• By plotting time against the number of words typed

• By calculating the average typing speed

• By comparing with another typist

• By using a stopwatch

What is an independent variable in the context of graphing?

• A variable that changes based on other variables

• A variable that is always zero

• A variable that remains constant

• A variable that does not depend on other variables

What is the first step in graphing ordered pairs?

• Find the midpoint

• Identify the X and Y axes

• Calculate the slope

• Draw a line

What is the unit rate for the car traveling at 50 mph?

• 25 miles per hour

• 50 miles per 2 hours

• 100 miles per hour

• 50 miles per hour

How many inches did the river rise in 8 hours?

• 12 inches

• 24 inches

• 30 inches

• 18 inches

What pattern is observed in the river rise data?

• The river rises by 5 inches every hour

• The river rises by 3 inches every hour

• The river rises by 2 inches every hour

• The river rises by 4 inches every hour

How much does a person earn in 3 hours if they earn $12 per hour?

• $60

• $24

• $48

• $36