A company operates a fleet of delivery trucks. Study shows that gallons of fuel consumed per mile of driving, F(x), is related to the speed at which a truck is driven, x miles per hour, by the function:F(x) = k1 + k2x; 10 < x < 80, where ki and k2 are parameters that vary somewhat from truck to truck. • Find and write the expression for the speed, x, that will lead o minimal fuel consumption per mile driving. • What speed will provide minimal fuel consumption per mile of driving for a truck having k1 4.9, k2 = 0.004?

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8. A company operates a fleet of delivery trucks. Study shows that gallons of fuel consumed per mile of driving, F(x),
is related to the speed at which a truck is driven, x miles per hour, by the function:F(x)
k1
+ k2x; 10 < x < 80,
where ki and k2 are parameters that vary somewhat from truck to truck.
• Find and write the expression for the speed, x, that will lead o minimal fuel consumption per mile driving.
• What speed will provide minimal fuel consumption per mile of driving for a truck having k1 = 4.9, k2 = 0.004?
Transcribed Image Text:8. A company operates a fleet of delivery trucks. Study shows that gallons of fuel consumed per mile of driving, F(x), is related to the speed at which a truck is driven, x miles per hour, by the function:F(x) k1 + k2x; 10 < x < 80, where ki and k2 are parameters that vary somewhat from truck to truck. • Find and write the expression for the speed, x, that will lead o minimal fuel consumption per mile driving. • What speed will provide minimal fuel consumption per mile of driving for a truck having k1 = 4.9, k2 = 0.004?
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