1.1 Create and Analyze Graphs
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1 Distance from house (m) 1.1 Create and Analyze Graphs Write your questions here! FRO YO! Make your own frozen yogurt! weight Price (ounces) ($) NOTES INDEPENDENT VARIABLE = DEPENDENT VARIABLE = TRY IT! The table shows the score of a player on the game show Jeopardy! Time (min) Score (points) Running Man Mr. Brust likes to run to work. The table below shows the distance Mr. Brust is from his house over the course of his run. Intervals ( ) ( ) Time (min) The point ( 8, 8 ) means
2 STORY TIME Professor Splash set the world record with a 36 foot belly flop into a 1 foot pool of water. Sketch a graph of his height over. SMP #4 SUMMARY: 1.1 Create and Analyze Graphs PRACTICE Identify the independent and dependent variable. Create and label a scatter plot. Answer the questions. 1. The area of a square is determined by the length of a side of that square as shown in the table below. Side Area a) What is the length of each side of a square that has an area of 36? Mark this point on the graph with a. b) What does the point (, ) mean in this situation?
3 Distance to stop (ft) Identify the independent and dependent variable. Create and label a scatter plot. Answer the questions. 2. Generic High School Math Club is selling math t-shirts to raise money for new calculators. Shirts Sold (#) Profit ($) 8 8 a) Approximately how many shirts must be sold in order for the club to break even? Justify. Use the graph to identify the independent and dependent variable. Fill in the table and answer the questions. 3. The distance it takes to stop a car by applying its breaks is determined by the speed of the car and the road conditions. The table shows the distance to stop given the vehicle s speed on dry road conditions. Speed (ft) speed (mph) a) What does the point (, ) mean in this situation? b) Police officers investigating a car accident find a 52 foot skid marks on a dry road. The driver of the vehicle said that they were going 45 mph at the in which they applied the brakes. Is the driver telling the truth? Justify. c) How would wet road conditions change the graph above? SMP #1 d) Sketch a possible graph of wet road conditions on the graph above.
4 height (ft) height (m) Use the graph to identify the independent and dependent variable. Fill in the table and answer the questions. 4. The height of a hot air balloon is measured over. (min) a) What does the point (, ) mean in this situation? b) Describe the rate of change of the hot air balloon over the first 30 minutes. c) Describe what is happening over the interval 30 minutes to 60 minutes. d) What is the maximum height of the hot air balloon? 5. Mr. Kelly shoots a bottle rocket off the back deck of his house. The graph shows the rocket s height over (sec) a) Use the graph to estimate how long the rocket is in the air. b) Use the graph to estimate bottle rocket s maximum height. c) How far off the ground is Mr. Kelly s deck?
5 population (thousands) Use the graph to identify the independent and dependent variable. Fill in the table and answer the questions. 6. The population of a certain bacteria grows over as shown in the graph below. (hours) a) What does the point (, ) mean in this situation? SMP #6 b) What population did the bacteria start with? c) When will the bacteria be 80,000? d) How long does it take for the population of bacteria to double? Justify. Analyze student work. 7. Rod and Tod were asked to identify the independent and dependent variable and create and label a scatter plot for the story below. Both Rod and Tod answered incorrectly. Explain their mistakes. STORY Maud is curious about the effects of caffeine. She decides to drink Monsters and record her heart rate. Caffeine Ingested (mg) Heart Rate (beats per min)
6 Temperature ( ) 1.1 Analyzing Graphs WRAP UP 1. Identify the independent and dependent variable. Create and label a scatter plot. Ted s paycheck is determined by the number of hours worked as shown in the table below. Time Worked Paycheck MULTIPLE CHOICE 2. The graph shows the temperature in a kiln while firing a piece of pottery. Over which interval did the temperature in the kiln have the greatest rate of change? A) 0 to 1.5 hours B) 1.5 to 2.5 hours C) 2.5 to 4.65 hours (2.5, 1350) (1.5, 1100) (4.65, 1680) (8.24, 1920) D) 4.65 to 8.24 hours E) Cannot be determined from the graph EXIT TICKET Match the story to its corresponding table and graph. (0, 250) (hours) STORY A: A certain bacteria starts with a population of 300 a doubles every hour. STORY B: A certain bacteria starts with a population of 300 increases 200 every hour. STORY C: A certain bacteria starts with a population of 300 increases 450 every 3 hours. 1 x y TABLES 2 x y x y GRAPHS I II III (NOTE FOR GRAPHS: x-axis interval is 0-3 with a scale of 1, y-axis interval is with a scale of 500) Story matches table which matches graph Story matches table which matches graph Story matches table which matches graph
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