Learn to relate graphs to situations .

1. Learn to relate graphs to situations .

2. You can use a graph to show the relationship between speed and time, time and distance, or speed and distance.

3. The graph at the right shows the varying speeds at which Emma exercises her horse. The horse walks at a constant speed for the first 10 minutes. Its speed increases over the next 7 minutes, and then it gallops at a constantrate for 20 minutes. Then it slows down over the next 3 minutes and then walks at a constant pace for 10 minutes. 20 Speed (mi/hr) 10 10 20 0 30 40 50 Time (min)

4. Example 2 The height of a tree increases over time, but not at a constant rate. Which graph bests shows this? B. A. C. As the tree grows, its height increases and then reaches its maximum height. Graph A shows the height of a tree not increasing but remaining constant. Graph C shows the height of a tree increasing at a constant rate without reaching a maximum height. The answer is graph B.

5. Example 3 The dimensions of the basketball court have changed over the years. However, the height of the basket has not changed. Which graph bests shows this? C. A. B. Graph A shows the height of the basket remaining constant. Graph C shows the height increasing without reaching a maximum height. Graph B shows the height increasing then remaining constant over time. The answer is graph A.

6. Practice C A B

7. Practice

8. Practice A ball is tossed into the air. Which graph best shows this? a. b. b Elevation Elevation Time Time

9. 1,500 Distance (m) 1,000 500 Time Practice Sam in-line skated 1,000 m from his home to the park, where he rested on a bench. He then returned home. Sketch a graph to show the distance he in-line skated compared to time. Use your graph to find the total distance traveled. 2,000 m

10. Practice 8 miles