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A study compared the speed x (in miles per hour) and the average fuel efficiency y (in miles per gallon) of cars. The results are shown in the table. Use a graphing calculator to find a model for the data. EXAMPLE 3. Use a quadratic model. Fuel Efficiency.

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**A study compared the speed x(in miles per hour) and the**average fuel efficiency y(in miles per gallon) of cars. The results are shown in the table. Use a graphing calculator to find a model for the data. EXAMPLE 3 Use a quadratic model Fuel Efficiency**Make a scatter plot. The points form an inverted U-shape.**This suggests a quadratic model. Use the quadratic regression feature to find an equation of the model. EXAMPLE 3 Use a quadratic model SOLUTION STEP 1 STEP 2**Graph the model along with the data to verify that the model**fits the data well. A model for the data isy= – 0.00793x2 + 0.727x + 13.8. ANSWER EXAMPLE 3 Use a quadratic model STEP 3**ANSWER**about 25.8 mi per gal for Example 3 GUIDED PRACTICE 3. Fuel Efficiency: Use the model from Example 3 to predict the average fuel efficiency of a car traveling 70 miles per hour**4.**SOLUTION f (x) = – 0.000451x2 + 0.404x – 23.1 for Example 3 GUIDED PRACTICE Use a graphing calculator to find a model for the data. Then graph the model and the data in the same coordinate plane.**5.**SOLUTION f (x) = 0.868x3 + 4.00x2 + 0.902x – 6.41 for Example 3 GUIDED PRACTICE

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