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MAT 150 – Algebra Class #11

MAT 150 – Algebra Class #11. Topics: Find the exact quadratic function that fits three points on a parabola Model data approximately using quadratic functions. Speed vs. Fuel Economy.

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MAT 150 – Algebra Class #11

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  1. MAT 150 – AlgebraClass #11 Topics: Find the exact quadratic function that fits three points on a parabola Model data approximately using quadratic functions

  2. Speed vs. Fuel Economy A study compared the speed x (in miles per hour) and the average fuel economy y (in miles per gallon) for cars. The results are shown in the table. Using the function, what is the fuel economy if the speed is 47? (Source: Transportation Energy Data Book)

  3. Writing a Quadratic Function • A parabola passes through the points (0, 5), (4, 13) and (-2, 25). Write the equation of the quadratic function whose graph is this parabola.

  4. Speed vs. Fuel Economy A study compared the speed x (in miles per hour) and the average fuel economy y (in miles per gallon) for cars. The results are shown in the table. Using the function, what is the fuel economy if the speed is 47? • Plot the data points. Is it linear or quadratic? • Write the equation of this function. (Source: Transportation Energy Data Book)

  5. Quadratic Regression Using the pervious data, put the data into your calculator where Speed is List 1 and Fuel Economy is List 2 Now select STAT, CALC, 5: QuadReg What is the fuel economy if the speed is 47? When can we be certain that this model no longer applies?

  6. Assignment Pg. 223-230 #1 , 5 and 8 #12 & 15 #29 & 35

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