1 9 Interpreting Graphs and Tables Chapter 1

1 -9 Interpreting Graphs and Tables Chapter 1 Algebra Toolbox 1 -9 Interpreting Graphs and Tables Objective: interpret information given in a graph or table and to make a graph to solve problems

1 -9 Interpreting Graphs and Tables Agenda Warm Up Problem of the Day Lesson Presentation Practice Activity Quiz

1 -9 Interpreting Graphs and Tables Warm Up Use the table to answer the following: 1. In which week did Alicia earn the most? week 3 2. What is the average amount Alicia earned in one week? $5 Week Savings 1 $3 2 $5 3 $10 4 $2 5 $6 6 $4

1 -9 Interpreting Graphs and Tables 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 move is 4 days late and not rewound? 1 + 3(2. 50) + 1 = $9. 50

1 -9 Interpreting Graphs and Tables Learn to interpret information given in a graph or a table and make a graph to help solve problems.

1 -9 Interpreting Graphs and Tables The table below show quickly the temperature can increase in a car that is left parked during an afternoon of errands when the outside temperature is 93 F. Location Temperature on Arrival Temperature on Departure — 140 at 1: 05 Cleaners 75 at 1: 15 95 at 1: 25 Mall 72 at 1: 45 165 at 3: 45 Market 80 at 4: 00 125 at 4: 20 Home

1 -9 Interpreting Graphs and Tables 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. 1: 00 1: 05 1: 10 1: 15 1: 20 Car 1 50 50 30 30 0 Car 2 55 50 50 55 50 Car 3 55 10 0 0 55 Time

1 -9 Interpreting Graphs and Tables Example 1 A: Matching Situations to Tables 1: 00 1: 05 1: 10 1: 15 1: 20 Car 1 50 50 30 30 0 Car 2 55 50 50 55 50 Car 3 55 10 0 0 55 Time A. Mr. Lee is traveling on the highway, and he pulls over to make a call on his cell phone. Then he 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.

1 -9 Interpreting Graphs and Tables Example 1 B: Matching Situations to Tables 1: 00 1: 05 1: 10 1: 15 1: 20 Car 1 50 50 30 30 0 Car 2 55 50 50 55 50 Car 3 55 10 0 0 55 Time B. Mrs. Healy is driving on the freeway between 1: 00 and 1: 20 and encounters no traffic. Car 2 - Mrs. Healy car maintains a speed between 50 mi/h and 55 mi/h.

1 -9 Interpreting Graphs and Tables Example 1 C: Matching Situations to Tables 1: 00 1: 05 1: 10 1: 15 1: 20 Car 1 50 50 30 30 0 Car 2 55 50 50 55 50 Car 3 55 10 0 0 55 Time C. At 1: 00 Mr. Johns estimates that he will arrive at his destination in approximately 20 minutes. Car 1 - Mr. Johns' speed begins to decrease to 0 sometime between 1: 15 and 1: 20.

1 -9 Interpreting Graphs and Tables Try This: Example 1 A 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 Runner 2 9 6 0 0 0 Runner 3 8 3 8 A. Jamie begins the race, and soon feels a pain in a 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.

1 -9 Interpreting Graphs and Tables Try This: Example 1 B 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 Runner 2 9 6 0 0 0 Runner 3 8 3 8 B. Melissa builds up her speed during the beginning of the race. She maintains her running speed for the 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.

1 -9 Interpreting Graphs and Tables Try This: Example 1 C 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 Runner 2 9 6 0 0 0 Runner 3 8 3 8 C. Ann decides to alternate between running and 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.

1 -9 Interpreting Graphs and Tables Example 2 A: Matching Situations to Graphs Speed Tell which car in Example 1 corresponds to each graph. View Table Car 1 Time

1 -9 Interpreting Graphs and Tables Example 2 B: Matching Situations to Graphs Speed Tell which car in Example 1 corresponds to each graph. View Table Car 2 Time

1 -9 Interpreting Graphs and Tables Example 2 C: Matching Situations to Graphs Tell which graph corresponds to the situation described in Example 1. Speed View Table Car 3 Time

1 -9 Interpreting Graphs and Tables Try This: Example 2 A Time Graph 2 Runner’s Speed Graph 1 Runner’s Speed Tell which graph corresponds to the situation described in Example 1: Try This 1. Graph 3 Time 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.

1 -9 Interpreting Graphs and Tables Try This: Example 2 B Time Graph 2 Time Runner’s Speed Graph 1 Runner’s Speed Tell which graph corresponds to the situation described in Example 1: Try This 1. Graph 3 Time 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.

1 -9 Interpreting Graphs and Tables Try This: Example 2 C Time Graph 2 Time Runner’s Speed Graph 1 Runner’s Speed Tell which graph corresponds to the situation described in Example 1: Try This 1. Graph 3 Time 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.

1 -9 Interpreting Graphs and Tables Example 3: Creating a Graph of a Situation Create a graph that illustrates the temperature ( F) inside the car. Car Temperatures Location Work Temperature on Departure on Arrival 68 at 12: 30 42 at 4: 30 Cleaners 65 at 4: 50 60 at 5: 00 Market 49 at 5: 40 65 at 5: 10 .

1 -9 Interpreting Graphs and Tables Try This: Example 3 Create a graph that illustrates the information in the table about the distance traveled during a family vacation. Time Distance (mi) 8: 00 280 10: 00 320 12: 00 500 Distance (mi) Distance Traveled Time 2: 00 580

1 -9 Interpreting Graphs and Tables 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 Table 2 Table 3 Time Speed 3: 00 20 mi/h 3: 00 0 mi/h 3: 05 20 mi/h 3: 05 10 mi/h 3: 10 20 mi/h 3: 15 55 mi/h

1 -9 Interpreting Graphs and Tables Let’s try some!