Understanding Average Rate of Change

The video tutorial explains how to calculate the average rate of change using Juan's travel data. It covers the mathematical steps to find the average speed and illustrates the concept graphically by plotting the data on a coordinate plane. The tutorial also distinguishes between average and instantaneous rates of change, emphasizing that the average rate does not reflect variations in speed during the journey.

What is the distance Juan covered after driving for 5 hours?

• 110 miles

• 165 miles

• 55 miles

• 275 miles

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

How do you calculate the average rate of change?

• By adding the distance and time

• By dividing the total distance by the total time

• By subtracting the time from the distance

• By multiplying the distance by time

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What is the average rate of change in Juan's journey?

• 55 miles per hour

• 110 miles per hour

• 275 miles per hour

• 165 miles per hour

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CCSS.8.EE.B.5

What does the slope of the line in the graph represent?

• The total distance traveled

• The total time taken

• The average rate of change

• The instantaneous speed

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CCSS.8.EE.B.5

What are the coordinates of the point representing Juan's position after 2 hours?

• (2, 110)

• (5, 275)

• (3, 165)

• (0, 0)

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Why is it useful to look at the journey graphically?

• To calculate the total distance

• To visualize the average rate of change

• To find the exact speed at every point

• To determine the fastest speed

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What is the difference between average and instantaneous rate of change?

• Average rate is constant, instantaneous varies

• Instantaneous rate is constant, average varies

• Both are always the same

• Neither can be calculated

What might Juan's actual driving pattern look like?

• Varying speeds

• A constant speed

• A circular path

• A straight line

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What does the blue line in the graph not represent?

• Average rate of change

• Total distance

• Total time

• Instantaneous rate of change

Tags

CCSS.RI.6.3

CCSS.RI.6.5

CCSS.RI.7.5

CCSS.RI.8.3

CCSS.RI.8.5

What is the purpose of this explanation?

• To calculate total distance

• To explain the concept of average rate of change

• To teach graph plotting

• To confuse the viewer

Tags

CCSS.RI.6.3

CCSS.RI.6.5

CCSS.RI.7.3

CCSS.RI.7.5

CCSS.RI.8.3