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Constant Rate of Change in Tables and Graphs

Learn how to identify the constant rate of change using tables and graphs. Discover how to calculate the unit rate and determine the rate of change in various scenarios. Examples include road trips, painting houses, flying, and bicycling.

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Constant Rate of Change in Tables and Graphs

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  1. Lesson Menu Main Idea and New Vocabulary Example 1: Use a Table Example 2: Use a Graph

  2. Identify constant rate of change using tables and graphs. • rate of change • constant rate of change Main Idea/Vocabulary

  3. Use a Table ROAD TRIP The table shows the number of miles Claire drove on a trip. Use the information to find the constant rate of change in miles per hour. Example 1

  4. The distance increases by 130 miles for every 2 hours. Write as a unit rate. Use a Table Find the unit rate to determine the constant rate of change. Example 1

  5. Use a Table The number of miles increases by 65 every hour. Answer: The constant rate of change is 65 miles per hour. Example 1

  6. The table shows the amount of money John gets for the number of hours he spends painting houses. Use the information to find the constant rate of change for the amount of money per hour. A. $66 per hour B. $22 per hour C. $11 per hour D. $2 per hour Example 1 CYP

  7. Use a Graph FLYING The graph represents the distance traveled while flying in a plane. Use the graph to find the constant rate of change in miles per hour. Example 2

  8. Use a Graph To find the rate of change, pick any two points on the line, such as (1,300) and (2,600). Example 2

  9. Use a Graph The distance increases by 300 miles in 1 hour. Answer: So, the rate of flying in an airplane is 300 miles per hour. Example 2

  10. BICYCLING The graph represents the distance traveled while bicycling. Use the graph to find the constant rate of change in miles per hour. A. 105 mph B. 70 mph C. 35 mph D. 1 mph Example 2 CYP

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