Exploring Equivalent Ratios and Graphs

The video tutorial explains how to use graphs to represent equivalent ratios. It begins with a car traveling at 40 miles per hour and demonstrates how to calculate equivalent ratios using a unit rate. The tutorial then shows how to represent these ratios as ordered pairs and graph them. A second example uses the growth of a redwood tree at 5 feet per year to illustrate the same concepts. The video emphasizes the linear relationship between time and distance or height in these examples.

What does the x-axis represent in the graph of the car's travel?

• Acceleration

• Speed in mph

• Time in hours

• Distance in miles

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CCSS.8.EE.B.5

If the car travels 40 miles in 1 hour, how far will it travel in 3 hours?

• 200 miles

• 80 miles

• 120 miles

• 160 miles

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CCSS.6.RP.A.3B

What ordered pair represents the car's travel of 160 miles?

• (4, 160)

• (160, 4)

• (5, 200)

• (3, 120)

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CCSS.6.NS.C.6B

How many miles does the car travel in 5 hours?

• 100 miles

• 200 miles

• 250 miles

• 300 miles

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CCSS.6.RP.A.3B

What pattern is observed when the car's travel distances are plotted over time?

• A curved line

• A straight line

• Scattered points

• A zigzag pattern

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CCSS.8.EE.B.5

At what rate does the redwood tree grow per year?

• 10 feet

• 8 feet

• 5 feet

• 3 feet

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CCSS.7.RP.A.2B

What is the correct ordered pair for the redwood tree's height after two years?

• (3, 15)

• (1, 5)

• (2, 10)

• (2, 5)

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CCSS.5.OA.B.3

What is the height of the redwood tree after 4 years?

• 20 feet

• 15 feet

• 30 feet

• 25 feet

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CCSS.5.OA.B.3

What does the y-coordinate represent in the graph of the redwood tree's growth?

• Width in feet

• Height in feet

• Growth in inches

• Time in years

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CCSS.HSF.LE.B.5

How does the graph of the car's distance over time compare to the graph of the redwood tree's growth?

• One is curved, one is straight

• Both are straight lines

• Both are zigzag patterns

• Both are curved lines

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CCSS.8.F.A.2

CCSS.HSF.IF.C.9