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Grade 7 HMH Go Math - Answer Keys
Chapter 4: Rates and Proportionality; Lesson 3: Proportional Relationships and Graphs
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For Exercises 8–12, the graph shows the relationship between time and distance run by two horses.
Question 8
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Explain the meaning of the point (0,0).
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Question 9
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How long does it take each horse to run a mile?
Question 10
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Multiple Representations
Write an equation for the relationship between time and distance for each horse.
Question 11
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Draw Conclusions
At the given rates, how far would each horse run in 12 minutes?
Question 12
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Analyze Relationships
Draw a line on the graph representing a horse than runs faster than horses A and B.
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Question 13
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A bullet train can travel at 170 miles per hour. Will a graph representing distance in miles compared to time in hours show a proportional relationship? Explain.
Question 14
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Critical Thinking
When would it be more useful to represent a proportional relationship with a graph rather than an equation?
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Question 15
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Multiple Representations
Bargain DVDs cost $5 each at Mega Movie.
a . Graph the proportional relationship that gives the cost y in dollars of buying x bargain DVDs.
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Question 15
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b . Give an ordered pair on the graph and explain its meaning in the real world context.
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