The graph shows the fuel consumption of a car (measured in gallons per hour) as a

Chapter 4, Problem 50

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The graph shows the fuel consumption of a car (measured in gallons per hour) as a function of the speed of the car. At very low speeds the engine runs inefficiently, so initially decreases as the speed increases. But at high speeds the fuel consumption increases. You can see that is minimized for this car when mih. However, for fuel efficiency, what must be minimized is not the consumption in gallons per hour but rather the fuel consumption in gallons per mile. Lets call this consumption . Using the graph, estimate the speed at which has its minimum value.

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