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1 Time (hours)Temperature ( F)12345 Houghton Mifflin Harcourt Publishing Company Houghton Mifflin Harcourt Publishing CompanyName Class date 3-1 Video TutorInterpreting GraphsThe outside temperature varies throughout the day. The graph shows the outside temperature for a day at one location from midnight to Segment 1 shows that the temperature from midnight to sunrise stayed constant. Describe what Segment 2 Based on the time frame, give a possible explanation for the change in temperature represented by Segment Which segments of the graph show decreasing temperatures? Give a possible Explain how the slope of each segment of the graph is related to whether the temperature increases or RelationshipsGoing DeeperEssential question: How can you describe a relationship given a graph and sketch a graph given a description? 3 115 Lesson 1 CBTime (hours)Rainfall(inches)Rainfall(inches)R ainfall(inches)Time (hours)ATime (hours) Houghton Mifflin Harcourt Publishing Company Houghton Mifflin Harcourt Publishing CompanyMatch Graphs to SituationsOn three days in September, Atlanta received the same amount of September 8, it rained very hard during the morning, but then rained less and less as the day went September 19, it rained steadily all day.

2 On September 27, it rained lightly during the morning, but then rained heavily for the rest of the each day s rain with the correct graph. A Describe the rainfall represented by Graph Describe the rainfall represented by Graph Describe the rainfall represented by Graph Determine which graph represents each day s rainfall and write the dates under the appropriate Could a graph of rainfall throughout a day ever slant downward from left to right? 3 116 Lesson 1 Time (hours)Water Level (inches)012345 Time (hours)Water Level (inches)1234567 Houghton Mifflin Harcourt Publishing Company Houghton Mifflin Harcourt Publishing CompanySketching a Graph for a SituationThe pool in a community park is being filled for the summer. A water truck arrives early in the morning, but no water is put from it into the pool for one hour because a small repair must be made to the pool first.

3 The spigot on the water truck is then opened partially to add water gradually to the pool during the next two Sketch a graph showing the height of the water in the pool over the first three hours that the water truck is at the The workers determine that the repair they made to the pool is working, so they completely open the spigot on the water truck to continue filling the pool. How do you think this will affect the water level in the pool?C Considering your answer to B, sketch a graph showing the height of the water in the pool during the first six hours that the water truck is at the Suppose a second water truck arrived at the end of 4 hours to also add water to the pool. How do you think this would affect the water level of the pool? How would it affect the water level if the second truck were the same type and size as the first truck?3b. How would your answer to 3a affect the graph?

4 3 117 Lesson 1 Height (feet)TimeHot Air Balloon HeightPhase1 Phase2 Phase3 Phase4 MassTimeBacteria ColonytMassTimeBacteria Colonyt Houghton Mifflin Harcourt Publishing Company Houghton Mifflin Harcourt Publishing CompanyPRacticEA hot air balloon rises as the air inside it is heated to a temperature greater than that of the surrounding air. During a balloon trip, the pilot controls the height of the balloon by adjusting the burning of propane fuel to change the temperature of the air inside the balloon. The graph shows the height of a balloon over time. 1. During which phase is the change in height greatest? Explain. 2. What happens to to the balloon s height during Phase 4?Scientists in a lab are conducting an experiment on a bacteria colony that causes its mass to fluctuate. The graph describes the changes in the colony s mass over time. 3. What happened to the bacteria colony s mass before time t?

5 4. Suppose at time t, a second colony of bacteria is added to the first. Draw a new graph to show how this action might affect the mass of the bacteria colony after time t. 5. Suppose at some point after time t, scientists add a substance to the colony that destroys some of the bacteria. Describe how your graph from problem 4 might 3 118 Lesson 1 name _____ date _____ Class _____ Original content Copyright by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Algebra 1 Practice Graphing Relationships Choose the graph that best represents each situation. 1. A tomato plant grows taller at a steady pace. _____ 2. A tomato plant grows quickly at first, remains a constant height during a dry spell, then grows at a steady pace. _____ 3. A tomato plant grows at a slow pace, then grows rapidly with more sun and water.

6 _____ 4. Lora has $15 to spend on movie rentals for the week. Each rental costs $3. Sketch a graph to show how much money she might spend on movies in a week. Tell whether the graph is continuous or discrete. _____ Write a possible situation for each graph. 5. _____ _____ _____ _____ 6. _____ _____ _____ _____ 184/21/11 11:09:52 AM Houghton Mifflin Harcourt Publishing Company3-1 name Class date Additional PracticeChapter 3 119 Lesson 1 name _____ date _____ Class _____ Original content Copyright by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Algebra 1 Problem Solving Graphing Relationships Sketch a graph for the given situation. Tell whether the graph is discrete or continuous. 1. A giraffe is born 6 feet tall and continues to grow at a steady rate until it is fully grown.

7 _____ 3. A city planner buys more buses as the population of her city grows. _____ 2. The price of a used car is discounted $200 each week. _____ 4. Joseph is sky-diving. At first, he is free-falling rapidly and then he releases his parachute to slow his descent until he reaches the ground. _____ Choose the graph that best represents the situation. 5. Rebekah turns on the oven and sets it to 300 qF. She bakes a tray of cookies and then turns the oven off. A Graph 1 C Graph 3 B Graph 2 D Graph 4 6. Leon puts ice cubes in his soup to cool it down before eating it. F Graph 1 H Graph 3 G Graph 2 J Graph 4 7. Barlee has the flu and her temperature rises slowly until it reaches 101 qF. A Graph 1 C Graph 3 B Graph 2 D Graph 4 8. On a hot day, Karin walks into and out of an air-conditioned building. F Graph 1 H Graph 3 G Graph 2 J Graph 4 914/21/11 11:09:47 AM Houghton Mifflin Harcourt Publishing CompanyProblem SolvingChapter 3 120 Lesson 1