68. Environment: Fuel Economy. Gas mileage (miles per gallon, mpg) can be approximated by a quadratic function of speed. For a particular automobile, assume the vertex occurs when the speed is 50 miles per hour (the mpg will be 30). a. Write a quadratic function that models this relationship, assuming 70 miles per hour corresponds to 25 mpg. b. What gas mileage would you expect for this car driving 90 miles per hour? 45 35 (50, 30) (70, 25) 25 15 10 30 90 Speed (mph) MPG 50 70 245

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.