Patterns and Rates of Change

This video tutorial covers comparing data using line graphs. It begins with an example of two water bottles being filled at different rates, demonstrating how to create tables, equations, and graphs to represent the data. The tutorial then explores number patterns and compares them using graphs. Finally, it examines the milk drinking rates of Sarah and Megan, using graphs to answer questions about their rates. The video emphasizes understanding relationships between data sets through visual representation.

What is the main focus of this lesson?

• Comparing data using line graphs

• Comparing data using pie charts

• Comparing data using bar graphs

• Comparing data using histograms

At what rate is Bottle A being filled?

• 100 mL per second

• 75 mL per second

• 50 mL per second

• 25 mL per second

What equation represents the data for Bottle A?

• Y = 25x

• Y = 50x

• Y = 75x

• Y = 100x

How much water is in Bottle B after 4 seconds?

• 125 mL

• 100 mL

• 75 mL

• 50 mL

At what point do the two bottles contain the same amount of water?

• At 4 seconds

• At 6 seconds

• At 2 seconds

• At 0 seconds

What is the first term in Pattern A?

• 12

• 3

• 9

• 6

How is Pattern B generated?

• By adding 3 to each term

• By multiplying each term by 4

• By adding 4 to each term

• By multiplying each term by 3

What is the relationship between the terms in Pattern A and Pattern B?

• Pattern A is equal to Pattern B

• Pattern A is three-fourths of Pattern B

• Pattern A is half of Pattern B

• Pattern A is twice Pattern B

How much milk does Sarah drink in 5 seconds?

• 50 mL

• 60 mL

• 75 mL

• 90 mL

How long does it take Megan to drink 60 mL of milk?

• 4 seconds

• 6 seconds

• 5 seconds

• 7 seconds