Constant Rate of Change from Tables and Graphs

Which statement is true about the rate of change of the two functions?

• Both functions have negative rates of change.

• Both functions have positive rates of change.

• Function 1 has a negative rate of change, while that of Function 2 is positive.

• Function 1 has a positive rate of change, while that of Function 2 is negative.

Peter ran to get to school from his house. He stopped to pick up his friend Janet from her house when he realized that forgot his math books. He then ran back to his house to get the books.

Which of these graphs best models Peter's the distance from home?

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The graph shows a jogger’s progress during a workout. The jogger runs a total distance of 3 miles, and the complete workout lasts 25 minutes. Which statement is true?

• The jogger moves at a constant rate of 1 mile every 9 minutes during the first 9 minutes of the workout.

• The jogger moves at a faster rate during the first 5 minutes of the workout than at any other time.

• The jogger moves for only 19 minutes of the workout because the graph only shows a change in distance from minutes 0−7, 9−12, 14−17, and 19−25.

• The jogger moves for only 19 minutes of the workout because the graph only shows a change in distance from minutes 7−9, 12−14, and 17−19.

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