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A study of driving costs based on 2012 medium-sized sedans found that the average cost (car payments, gas, insurance, upkeep, and depreciation) in cents per mile is approximately $C(x)=\frac{1910.5}{x^{1.72}}+42.9 \ (5 \leq x \leq 20)$ where x (in thousands) denotes the number of miles the car is driven each year. Show that the graph of C is concave upward on the interval (5, 20). What does your result tell you about the average cost of driving a 2012 medium-sized sedan in terms of the number of miles driven?

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