2 3 Interpreting Graphs Warm Up Problem of

2 -3 Interpreting Graphs Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

2 -3 Interpreting Graphs Warm Up Use the table for problems 1 and 2. 1. In which week did Alicia save the most? week 3 2. How much did Alicia save in all? $25

2 -3 Interpreting Graphs Problem of the Day A health club charges $100 to join and $25 per month. There is also an $8 fee per aerobic class. Julia joins the health club for 4 months and takes 12 aerobic classes. What is her total cost? $296

2 -3 Interpreting Graphs Learn to interpret information given in a graph and to make a graph to model a situation.

2 -3 Interpreting Graphs Additional Example 1 A: Matching Situations to Graphs The graphs show the speeds of two cars over time. Tell which graph corresponds to each situation. Graph 3 Speed Graph 2 Time Mr. Lee is traveling on the highway. He pulls over, stops, then accelerates rapidly as he gets back on the highway. Graph 2

2 -3 Interpreting Graphs Additional Example 1 B: Matching Situations to Graphs The graphs show the speeds of two cars over time. Tell which graph corresponds to each situation. Graph 2 Speed Graph 1 Time Ms. Montoni slows down as she leaves the main road. She continues to slow down as she turns onto other streets and eventually stops in front of her house. Graph 1

2 -3 Interpreting Graphs Check It Out: Example 1 A Time Graph 2 Runner’s Speed Graph 1 Runner’s Speed Tell which graph corresponds to the situation described below. Graph 3 Time 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. Time

2 -3 Interpreting Graphs Check It Out: Example 1 B Time Graph 2 Time Runner’s Speed Graph 1 Runner’s Speed Tell which graph corresponds to the situation described below. Graph 3 Time 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.

2 -3 Interpreting Graphs Additional Example 2 A: Creating a Graph of a Situation Create a graph for the situation. Tell whether the graph is continuous or discrete. Time Temp. (F) Since every value of time has a corresponding altitude, connect the points. 8: 00 71 8: 30 71 12: 00 12: 30 82 74 Car Temperature Temp (F) The table shows the temperature inside a car over time. The graph is continuous. Time

2 -3 Interpreting Graphs Additional Example 2 B: Creating a Graph of a Situation The cost (y-axis) increases by $5 for each pumpkin purchased (xaxis). Because each person can only buy whole pumpkins or none at all, the graph is distinct points. The graph is discrete. Cost($) Create a graph for the situation. Tell whether the graph is continuous or discrete. Pumpkin Cost A market sells pumpkins for $5 each. Pumpkins Purchased

2 -3 Interpreting Graphs Check It Out: Example 2 A Create a graph for the situation. Tell whether the graph is continuous or discrete. Since every value of time has a corresponding altitude, connect the points. Distance (mi) Time 8: 00 10: 00 12: 00 Distance (mi) 280 320 500 The table shows the distance traveled Distance Travelled during a family vacation. The graph is continuous. Time 2: 00 580

2 -3 Interpreting Graphs Check It Out: Example 2 B The cost (y-axis) increases by $10 for each t-shirt purchased (x-axis). Because each person can only buy one t-shirt or none at all, the graph is distinct points. Cost($) Create a graph for the situation. Tell whether the graph is continuous or discrete. T-Shirt Cost A business sells t-shirts for $10 each. T-shirts Purchased The graph is discrete.

2 -3 Interpreting Graphs Lesson Quizzes Standard Lesson Quiz for Student Response Systems

2 -3 Interpreting Graphs Lesson Quiz Tell which graph corresponds to the situation. Then tell whether the graph is continuous or discrete. A bus pulls out from the gas station. It drives to its first stop. Then the bus gets on the expressway. Graph B; continuous Graph B Speed Graph A Time

2 -3 Interpreting Graphs Lesson Quiz for Student Response Systems 1. Maggi has $25 in her bank account. She gets $5 every day from her father and deposits the money in the account for the first three days. On the fourth day, she buys a hat for herself with the money. Identify the table that corresponds to this situation. A. B.