Main Ideas/Questions Notes/Examples LINEAR QUADRATIC LINEAR VG QUADRATIC models Equation: Equation: Directions: Use a graph to determine the model. Then, write an equation to represent the data. Writing 1. 2. EQUATIONS X X -2 -7 -3 2 O -3 -2 -2 3 3 O -1 5 2 Linear or Quadratic? Linear or Quadratic? Equation: Equation: 3. 4 -5 -4 7 2 -2 -2 6 3 - 1 O 5 4 -2 2 4 5 -5 4 3 Linear or Quadratic? Linear or Quadratic? Equation: Equation:5. 6. X y X y -2 -2 -4 -1 -2 4 O 1 2 2 10 4 -9 Linear or Quadratic? Linear or Quadratic? Equation: Equation: 7. 8 X V X 8 -3 -4 - 6 5 2 -5 -4 9 3 -2 -2 9 4 5 0 5 Linear or Quadratic? Linear or Quadratic? Equation: Equation: 9. The value, V, of a computer between 1999 and 2003 is given in the table below. Write an equation for the line of best fit, then predict the value of making the computer in 2008. PREDICTIONS 1999 2000 2001 2002 2003 V 800 720 640 $72 480 10. A coin is thrown off the top of the Statue of Liberty, which is 305 feet from the ground. The height, h, of the coin is recorded after each second, t, in the table below. Write an equation for the curve of best fit, then predict the height of the coin after 7 seconds. t h 305 367 2 397 3 395 4 362. X X 2 W -1 6 0 7 0 4 6 3 2 3 6 6 Linear or Quadratic? Linear or Quadratic? Equation: Equation: 3. 4. X -5 10 -8 -1 -3 6 -6 -7 0 -4 -9 2 -4 -2 - 1 4 -8 0 -1 Linear or Quadratic? Linear or Quadratic? Equation: Equation: 5. A real-estate agent is trying to determine the relationship between the distance a 3-bedroom home is from New York City and its average selling price. He records the data for 6 homes in the table below. Write an equation for the line of best fit, then approximate the cost of a home located 90 miles from New York City. X 10 35 50 65 75 120 755,000 650,000 580,000 505,000 475,000 285,000 *x = miles from NYC; y = cost of home6. A football is kicked into the air with an initial upward velocity of 82 feet per second. Its height, h (in feet), is recorded at various seconds, t, in the table below. Write an equation for the curve of best fit, then estimate the height of the football after 5 seconds. h 0 0 n ( 0 )= 10 1 66 2 100 3 102 4 72 7. A frog is jumping onto a lily pad. Its height, h (in feet), is recorded at various seconds, t, in the table below. Write an equation for the curve of best fit, then estimate the height of the frog after 6 seconds. h 2 1 4.5 2 6 3 6.5 4 6 8. The table below shows the number of students enrolled at Mapleton High School since 2002. Write an equation for the line of best fit, then predict the number of students enrolled in 2011. X 2002 2892 2003 3042 2004 3087 2005 3136 2006 3296 9. A traffic study was conducted on a busy street. In 15-minute intervals from 6:30 a.m. to 8:00 a.m., the number of vehicles that passed a certain point in one minute was recorded in the table below. Write an equation for the curve of best fit, then approximate the number of cars that passe the point at 9:15 a.m. X 0 15 30 45 60 75 90 V 32 48 71 80 98 86 81 *x = minutes past 6:30 a.m.; y = number of cars