Course Interpreting Graphs Do Now: Graph the ordered pairs from the table. What letter do the points form? V x 44 22 024 y42024 HWK: WBK p 38
Course Interpreting Graphs EQ: How can I relate graphs to situations? GPS: M7A3b Represent, describe, and analyze relations from graphs
Course Interpreting Graphs You can use a graph to show the relationship between speed and time, time and distance, or speed and distance.
Course Interpreting Graphs Speed (mi/hr) The graph at the right shows the varying speeds at which Emma exercises her horse. The horse walks at a constant speed for the first 10 minutes. Its speed increases over the next 7 minutes, and then it gallops at a constant rate for 20 minutes. Then it slows down over the next 3 minutes and then walks at a constant pace for 10 minutes. Time (min) 0
Course Interpreting Graphs The height of a tree increases over time, but not at a constant rate. Which graph bests shows this? Additional Example 1: Relating Graphs to Situations As the tree grows, its height increases and then reaches its maximum height. Graph A shows the height of a tree not increasing but remaining constant. Graph C shows the height of a tree increasing at a constant rate without reaching a maximum height. The answer is graph B. A. B. C.
Course Interpreting Graphs Check It Out: Example 1 The dimensions of the basketball court have changed over the years. However, the height of the basket has not changed. Which graph bests shows this? Graph A shows the height of the basket remaining constant. Graph C shows the height increasing without reaching a maximum height. Graph B shows the height increasing then remaining constant over time. The answer is graph A. A. B. C.
Course Interpreting Graphs Additional Example 2: Problem Solving Application Jarod parked his car in the supermarket parking lot and walked 40 ft into the store and to the customer service counter, where he waited in line to pay his electric bill. Jarod then walked 60 ft to the back of the store to get 2 gallons of milk and walked 50 ft to the checkout near the front of the store to pay for them. After waiting his turn and paying for the milk, he walked back 50 ft to his car. Sketch a graph to show Jarod’s distance from his car over time. Use your graph to find the total distance traveled.
Course Interpreting Graphs Additional Example 2 Continued 1 Understand the Problem The answer will be the total distance that Jarod traveled. List the important information: ● Jarod walked from the parking lot directly to t the customer service counter and waited in t line. ● Jarod then walked to the back of the store for t milk and then to the checkout at the front t and waited in line. ● Then Jarod returns to his car.
Course Interpreting Graphs Additional Example 2 Continued Sketch a graph that represents the situation. Then use the graph to find the total distance Jarod traveled. 2 Make a Plan Time Distance from car (ft)
Course Interpreting Graphs Additional Example 2 Continued The distance increases from 0 to 40 feet when Jarod walks from the parking lot, where he parked his car, to the supermarket customer service counter. The distance does not change while he waits in line to pay his bill. The distance increases by 60 feet when he walks to the back of the store to get milk. The distance decreases as he walks back 50 feet to the checkout near the front of the supermarket. The distance does not change as he waits in line to pay for the milk. The distance decreases again as he walks another 50 feet back to his car in the supermarket parking lot. Solve 3 Jarod traveled a total of 200 feet.
Course Interpreting Graphs Additional Example 2 Continued Look Back 4 Jarod walked from the supermarket parking lot to the back of the supermarket, approximately 100 feet. From the back of the supermarket he then returned to the parking lot, an additional 100 feet. The answer, 200 feet is reasonable since 100 plus 100 equals 200.
Course Interpreting Graphs Check It Out: Example 2 Darcy traveled 22 miles from her house to the Peterman’s house were she babysat for 1 hour. After babysitting she traveled 8 miles to the deli to buy a sandwich. After eating her sandwich she returned home. Sketch a graph to show Darcy’s distance from her house over time. Use your graph to find the total distance traveled.
Course Interpreting Graphs Check It Out: Example 2 Continued 1 Understand the Problem The answer will be the total distance that Darcy traveled. List the important information: Darcy traveled from her house 22 miles directly to the Peterman’s house and babysat for 1 hour. Darcy then traveled 8 miles to the deli where she ate a sandwich. Darcy then traveled home.
Course Interpreting Graphs Check It Out: Example 2 Continued Sketch a graph that represents the situation. Then use the graph to find the total distance Darcy traveled. 2 Make a Plan Time Distance from house
Course Interpreting Graphs Check It Out: Example 2 Continued The distance increases from 0 to 22 miles when Darcy travels from her house to the Peterman’s house. The distance does not change while she baby-sits. The distance increases by 8 miles when she travels to the deli. The distance does not change as she eats her sandwich. The distance decreases as she travels home. Solve 3 Darcy traveled a total of 60 miles.
Course Interpreting Graphs Check It Out: Example 2 Continued Look Back 4 The Peterman’s house is 22 miles from her house, so Darcy had to travel that distance twice just to go to their house and return. The answer, 60 miles, is reasonable since it is greater than 44 miles.
Course Interpreting Graphs 1. A ball is tossed into the air. Which graph best shows this? a.b. b Elevation Time Elevation Time
Course Interpreting Graphs 2. Sam in-line skated 1,000 m from his home to the park, where he rested on a bench. He then returned home. Sketch a graph to show the distance he in-line skated compared to time. Use your graph to find the total distance traveled. Distance (m) 500 1,000 1,500 Time 2,000 m
Course Interpreting Graphs In the wild, giant anteaters nurse their young. At Houston Zoo, baby giant anteaters are bottle-fed. By the time a baby is 3 months old, it drinks about 0.5 L of formula each day. The table shows the amount of formula needed to feed one baby giant anteater over several days. Graph this. Course Tables and Graphs
Course Interpreting Graphs Graph the data given in the table showing the number of pounds of food purchased and its cost. What appears to be the relationship between the number of pounds and the cost in the table below? Number of Pounds1234 Cost($)
Course Interpreting Graphs The ordered pairs are (1, 1.85), (2, 3.70), (3, 5.55), and (4, 7.40). Additional Example 3 Continued Course Tables and Graphs Now plot the points on a coordinate plane. Label the axes. Number of Pounds The graph shows that the cost is the number of pounds multiplied by Cost ($)
Course Interpreting Graphs Graph the data in the table showing the number of days and its cost. What appears to be the relationship between the number of days and the cost shown in the table below? Number of Days3456 Cost($)
Course Interpreting Graphs The ordered pairs are (3, 3.75), (4, 5.00), (5, 6.25), and (6, 7.50). Check It Out: Example 3 Continued Course Tables and Graphs The graph shows that the cost is the number of days multiplied by Now plot the points on a coordinate plane. Label the axes. Number of Days Cost ($)