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 Fishtank Learning, 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.