Understanding Rates of Change

The video tutorial guides students through solving problems related to rates of change. It begins with an introduction and purpose, followed by calculating the rate of change for a climber. The tutorial then compares different rates of change, discusses the concept of origin, and analyzes rates using graphs. It concludes with a redemption question and final remarks, aiming to enhance understanding of rate calculations and comparisons.

What is the altitude of the climber after two hours?

• 200 feet

• 500 feet

• 300 feet

• 400 feet

How do you calculate the average rate of change for the climber's hike?

• Add the change in altitude to the change in time

• Subtract the change in time from the change in altitude

• Multiply the change in altitude by the change in time

• Divide the change in altitude by the change in time

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Who has a greater rate of change, Omar or Braden?

• Omar

• Braden

• Cannot be determined

• Both have the same rate

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

What is the rate of change for Aubrey?

• 3/2

• 5/4

• 6/4

• 7/2

Tags

CCSS.HSF-LE.A.1B

Which ordered pair does the origin run through?

• (2,2)

• (0,0)

• (1,1)

• (0,1)

Who has a greater rate of change, Harman or Smith?

• Cannot be determined

• Both have the same rate

• Smith

• Harman

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

What is the rate of change for Holland?

• 5.5

• 7

• 6.5

• 6

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What is the rate of change for the graph that goes up 30 over 5?

• 5 dollars per hour

• 6 dollars per hour

• 7 dollars per hour

• 8 dollars per hour

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What is the constant rate of change if it goes from 60 to 30 in 3 to 6 seconds?

• 15 feet per second

• 10 feet per second

• 20 feet per second

• 5 feet per second

Tags

CCSS.HSF-LE.A.1B

What is the correct rate of change for the redemption question?

• 5

• 10

• -10

• -5

Tags

CCSS.HSF-LE.A.1B