Compare proportional relationships represented as graphs.
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If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Problem 1 (benefits from discussion) and Anchor Problem 2 (benefits from worked example). Find more guidance on adapting our math curriculum for remote learning here.
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The graphs below show the cost $$y$$ of buying $${{x }}$$ pounds of fruit. One graph shows the cost of buying $${{x }}$$ pounds of peaches, and the other shows the cost of buying $$x$$ pounds of plums.
Peaches and Plums, accessed on Feb. 23, 2018, 11:12 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Kell works at an after-school program at an elementary school. The table below shows how much money he earned every day last week.
Time worked (hours) | 1.5 | 2.5 | 4 |
Money earned (dollars) | 12.6 | 21 | 33.60 |
Mariko has a job mowing lawns that pays $7 per hour.
Draw a graph for each boy’s situation, where $$y$$ represents the amount of money each boy earns for working $$x$$ hours. Your graph should have 2 lines drawn in it. Then answer the questions that follow.
Who Has the Best Job?, accessed on Feb. 23, 2018, 11:14 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Modified by The Match Foundation, Inc.The graph below shows the relationship between the distance biked and the time spent biking for two different bikers in a road race.
Which of the following accurately compares the speed of the two bikers?
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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The graphs below show the distance two cars have traveled along the freeway over a period of several seconds. Car A is traveling 30 meters per second.
Which equation from those shown below is the best choice for describing the distance traveled by car B after $$x$$ seconds? Explain.
Comparing Speeds in Graphs and Equations, accessed on Feb. 23, 2018, 11:19 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
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