Exploring Equivalent Ratios and Graphs

This video tutorial by Mr. Math Blog covers the concept of equivalent ratios and how to represent them using graphs. It includes examples such as a car traveling at a constant speed and the rise of water levels in Arcade Creek. The tutorial explains how to create tables of equivalent ratios, plot them as ordered pairs, and identify patterns in graphs. It also discusses how to verify the equivalence of ratios by reducing them to unit ratios. The video concludes with an example of graphing earnings based on hourly wages.

What is the essential question of this lesson?

• How do we write equivalent ratios?

• What is the unit rate of a car traveling at 50 miles per hour?

• How can we use a graph to represent ratios?

• What is the distance traveled by a car in 2 hours?

If a car travels at 50 miles per hour, how far will it travel in 2 hours?

• 200 miles

• 100 miles

• 50 miles

• 150 miles

What is the unit rate for a car traveling 50 miles in 1 hour?

• 100 miles per hour

• 200 miles per hour

• 150 miles per hour

• 50 miles per hour

How do you represent the ratio of 50 miles per 1 hour as an ordered pair?

• (100, 2)

• (50, 1)

• (1, 50)

• (2, 100)

What pattern do the ordered pairs (1, 50), (2, 100), (3, 150) form on the graph?

• A dotted line

• A zigzag line

• A straight line

• A curved line

During a heavy rainstorm, if the water at Arcade Creek rose steadily for 8 hours, how many inches did it rise in total?

• 30 inches

• 36 inches

• 24 inches

• 18 inches

What does the ordered pair (1, 3) represent in the context of Arcade Creek's water level?

• 3 hours and 3 inches rise

• 3 hours and 1 inch rise

• 1 hour and 3 inches rise

• 1 hour and 1 inch rise

How can you determine if the ratios in a table are equivalent?

• By multiplying the ratios

• By converting them to unit ratios

• By adding the numerators

• By subtracting the denominators

If Zack earns $12 per hour, how much will he earn in 3 hours?

• $24

• $36

• $48

• $60

What is the unit ratio for 24 inches in 8 hours?

• 8 inches per hour

• 4 inches per hour

• 6 inches per hour

• 3 inches per hour