The faster a locomotive travels, the more horsepower is needed. The formula H(x) = 0.157(1.033) x calculates

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The faster a locomotive travels, the more horsepower is needed. The formula H(x) = 0.157(1.033)x calculates this horsepower for a level track. The input x is in miles per hour and the output H(x) is the horsepower required per ton of cargo.

(a) Evaluate H(30) and interpret the result. 

(b) Determine the horsepower needed to move a 5000-ton train 30 miles per hour. 

(c) Some types of locomotives are rated for 1350 horsepower. How many locomotives of this type would be needed in part (b)?

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