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The highway mileage m in miles per gallon for a compact car is approximated by m(s) = -0.025s^2 + 2.45s - 30, where s is the speed in miles per hour. What is the maximum mileage for this compact car to the nearest tenth of a mile per gallon? __________ mi/gal.

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meerkat18
the maximum mileage per gallon for the compact car is determined by taking the first derivative of the given equation and equate to zero. The differentiated form is m's = -0.05 s + 2.45 = 0; s is equal to 49 seconds. substituting this s, m is equal to 30.025 miles/gallon.

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