Name_ Class Date_ 4-3 Practice (continued) Form K Modeling With Quadratic Functions 10. The table at the right shows average retail gasoline prices. a. Find a quadratic model for the data using 1976 as year 0, Price per 1986 as year 10, 1996 as year 20, and 2005 as year 29. Year gallon (cents b. Use the model to estimate the average retail gasoline price 1976 61.4 in 2000. 1986 92.7 a. y= .11x2 + 1. 87 x +61. 83 1996 141.3 2005 208.0 b. $ 170. 07 SOURCE: U.S. Dept. of Energy Determine whether a quadratic model exists for each set of values. If so, write the model. 11. A(0) = 5, A-4) = 13, f(2) = 7 12. A(1) = 1 , A(-3 ) = -19, A(-1) =-9 2. Use the and your answer to none of the baseball 13. A(0) = 0, f(1) = 2, A(2) = 4 14 . A( - 5 ) = 3 , A( - 2 ) = 6 , f (0 ) = - 2 y= 37x2-71x+ 103 rit to 15. The table at the right shows in thousands U.S Cellular how many people in the U.S. subscribe to a Telephone Subscribership cellular telephone. Year (in thousands) a. Find a quadratic model for the data. 1985 340 Let x = the number of years since 1985. b. Use the model to estimate the number of 1990 5283 subscribers in 1995. 2000 109,478 c. Describe a reasonable domain and range for 2004 182, 140 this situation. SOURCE: CTIA Semi-Annual Wireless Industry a - 23, 4:31 1- 18, 897 16. Error Analysis In Exercise 15 part (c), your friend said that the range was equal to all real numbers. Why is this incorrect? 00.0 mot 17. Reasoning Explain how you know your answer to Exercise 15 part (b) is reasonable