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the function f(x)=-0.005x^2+0.8x+12 models the relationship between a certain vehicle's speed and a fuel economy, where f(x) is the fuel economy in kilometres per litre and x is the speed of the vehicle in kilometres per hour. Determine the rate of change in fuel economy for 10km/h intervals in speed, and use your results to determine the speed that gives the best fuel economy.

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