The fuel efficiency, E, in miles per gallon of an SUV depends on its weight in pounds, w: E(w)=.0000016 w².016w+54 (1800 ≤ w≤5400) 30 W 0 500 1000 1500 2000 2500 3000 3500 4000 4500 5000 550 1. The point (2000, 28.4) lies on this graph. Interpret what this means in terms of fuel efficiency and weight. Answer questions 2 and 3 below in each of three ways: a. Estimate the answer by looking at the graph above. b. Obtain a more accurate estimate by graphing y=E(w) on your graphing calculator and using the appropriate function under the CALC menu. c. Obtain the exact answer by using algebra. (Show your work!) 2. What is the weight of the least fuel efficient SUV? How many miles per gallon does the least fuel efficient SUV get? 2a. 2b. 2c. +20 10

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