The rotation rate of a lawn mower blade, in rotations per minute, slows as the b

Question

The rotation rate of a lawn mower blade, in rotations per minute, slows as the blade comes into contact with grass stems. The mower blade rotates at 1,000 rotations per minute when the blade runs free of grass stems. The rate at which the blade slows is four rotations per minute less than three times the square of the height of the grass contacting the blade. If h is the height of the grass in contact with the blade, which of the following represents the R(h), the rate of rotation? a. 4 - 9h b. 1,000 - 3h - 4 c. 1,000 - 9h - 4 d. 1,000 - 3h^2 - 4

Explanation / Answer

Dear Student Thank you for using Chegg !! Given Normal Rotation speed of mower free of grass as 100 rotations per minute Also mentioned in question about rate at which mower slows down when comes in contact with grass as " 4 rotations per minute less than 3 times square of height of the grass contacting mower blade Let the height of grass contacting mower blade be h => Rate at which mower blade slows down is = 3h^2 + 4 Hence R(h) i.e. rate of rotation of mower at when h units of grass is in conact with mower blade is R(h) = 1000 - 3h^2 - 4 Hence correct option is option D

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