Interpreting Graphs & Tables: Warm-Up Problems & Examples

1. 3-3 Interpreting Graphs and Tables Warm Up Problem of the Day Lesson Presentation Course 3

2. Warm Up Use the table for problems 1 and 2. 1.In which week did Alicia earn the most? 2. What is the average amount Alicia earned in one week? week 3 $5

3. Problem of the Day The late fee at a video store is $1 for the first day and $2.50 for each day after that. There is also a $1 fee if the movie is not rewound. What is the total fine if the movie is 4 days late and not rewound? $9.50

4. Learn to interpret information given in a graph or a table and to make a graph to solve problems.

5. 1:05 1:10 1:15 1:20 Time 1:00 30 50 50 30 0 Car 1 Car 2 55 50 50 55 50 0 0 55 10 55 Car 3 Additional Example 1: Matching Situations to Tables The table gives the speeds in mi/h of three cars at given times. Tell which car corresponds to the situation.

6. 1:05 1:10 1:15 1:20 Time 1:00 30 50 50 30 0 Car 1 Car 2 55 50 50 55 50 0 0 55 10 55 Car 3 Additional Example 1A: Matching Situations to Tables Mr. Lee is traveling on the highway, and he pulls t over to make a call on his cell phone. Then he t gets back onto the highway. Car 3 - Mr. Lee starts to slow down after 1:00. After making his phone call, he gets back onto the highway and resumes his speed of 55 mi/h.

7. 1:05 1:10 1:15 1:20 Time 1:00 30 50 50 30 0 Car 1 Car 2 55 50 50 55 50 0 0 55 10 55 Car 3 Additional Example 1B: Matching Situations to Tables Mrs. Healy is driving on the freeway between t 1:00 and 1:20 and encounters no traffic. Car 2 - Mrs. Healy's car maintains a speed between 50 mi/h and 55 mi/h.

8. 1:05 1:10 1:15 1:20 Time 1:00 30 50 50 30 0 Car 1 Car 2 55 50 50 55 50 0 0 55 10 55 Car 3 Additional Example 1C: Matching Situations to Tables At 1:00 Mr. Johns estimates that he will t arrive at his destination in approximately t 20 minutes. Car 1 - Mr. Johns' speed begins to decrease to 0 sometime between 1:15 and 1:20.

9. Check It Out: Example 1A The table gives the speed in mi/h of three runners at the given times. Tell which runner corresponds to the situation. Time 8:00 8:10 8:20 8:30 8:40 Runner 1 6 7 7 7 7 Runner 2 9 6 0 0 0 Runner 3 8 3 8 3 8 Jamie begins the race and soon feels a pain in a t muscle. He is unable to complete the race. Runner 2—Jamie begins at a fast speed. His speed decreases as he feels a pain in a muscle, and then decreases to 0 when he stops.

10. Time 8:00 8:10 8:20 8:30 8:40 Runner 1 6 7 7 7 7 Runner 2 9 6 0 0 0 Runner 3 8 3 8 3 8 Check It Out: Example 1B Melissa builds up her speed during the beginning of T the race. She maintains her running speed for the T remainder of the race. Runner 1—Melissa begins running at a rate of 6 mi/h and then speeds up to 7 mi/h. She maintains 7 mi/h for the remainder of the race.

11. Time 8:00 8:10 8:20 8:30 8:40 Runner 1 6 7 7 7 7 Runner 2 9 6 0 0 0 Runner 3 8 3 8 3 8 Check It Out: Example 1C Ann decides to alternate between running and t walking during the race. Runner 3—Ann is running at a rate of 8 mi/h and then walks at a rate of 3 mi/h. She continues alternating between running and walking.

12. Speed Time Additional Example 2A: Matching Situations to Graphs Tell which car in Example 1 corresponds to each graph. View Table Car 1

13. Additional Example 2B: Matching Situations to Graphs Tell which car in Example 1 corresponds to each graph. View Table Speed Car 2 Time

14. Additional Example 2C: Matching Situations to Graphs Tell which graph corresponds to the situation described in Example 1. View Table Speed Car 3 Time

15. Runner’s Speed Runner’s Speed Runner’s Speed Time Time Time Check It Out: Example 2A Tell which graph corresponds to the situation described in Check it Out: Example 1. Graph 2 Graph 1 Graph 3 A. Jamie begins the race, and soon feels a pain in a muscle. He is unable to complete the race. Graph 2—Jamie is unable to complete the race, so his speed decreases to zero.

16. Runner’s Speed Runner’s Speed Runner’s Speed Time Time Time Check It Out: Example 2B Tell which graph corresponds to the situation described in Check it Out: Example 1. Graph 2 Graph 1 Graph 3 B. Melissa builds up her speed during the beginning of the race. She maintains her running speed for the remainder of the race. Graph 1—Melissa’s speed increases at the beginning and then the graph remains constant.

17. Runner’s Speed Runner’s Speed Runner’s Speed Time Time Time Check It Out: Example 2C Tell which graph corresponds to the situation described in Check it Out: Example 1. Graph 2 Graph 1 Graph 3 C. Ann decides to alternate between running and walking during the race. Graph 3—Ann’s speed decreases and increases at steady intervals throughout the race.

18. Temperature on Departure Temperature on Arrival Location Car Temperatures 42 at 4:30 Work 68 at 12:30 Cleaners 60 at 5:00 65 at 4:50 Market 49 at 5:40 65 at 5:10 . Additional Example 3: Creating a Graph of a Situation Create a graph that illustrates the temperature (F) inside the car.

19. Distance (mi) Time 8:00 10:00 12:00 2:00 Distance (mi) 280 320 500 580 Time Check It Out: Example 3 Create a graph that illustrates the information in the table about the distance traveled during a family vacation. Distance Traveled

20. Lesson Quiz Tell which table corresponds to the situation. A tour bus sits at the gas station while the mechanic inspects the tires. It then leaves and make its first stop five miles down the road. The bus then continues on to its destination by getting on the expressway and driving 40 miles. Table 2 Table 1 Time Speed 3:00 20 mi/h 3:05 20 mi/h 3:10 0 mi/h 3:15 55 mi/h Table 2 Time Speed 3:00 0 mi/h 3:05 20 mi/h 3:10 0 mi/h 3:15 55 mi/h Table 3 Time Speed 3:00 0 mi/h 3:05 10 mi/h 3:10 20 mi/h 3:15 55 mi/h