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23 July, 02:49

The slope of a hill next to a highway decreases 2 vertical feet for every 3 horizontal feet away from the highway.

Which function represents the vertical distance as a function of the horizontal distance, and what is the vertical distance, v (h), from the highway when the horizontal distance, h, is 12 feet?

A. v (h) = -3h+2, and the vertical distance is - 34 feet.

B. v (h) = -3h-2, and the vertical distance is - 38 feet.

C. v (h) = -3/2h, and the vertical distance is - 18feet.

D. v (h) = -2/3h, and the vertical distance is - 8 feet

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Answers (1)
  1. 23 July, 05:32
    0
    Slope is the change in Y (vertical) over the change in X (horizontal).

    The slope would be - 2 / 3

    You would multiply the horizontal distance by the slope:

    -2/3 x 12 = - 8

    The answer would be D. v (h) = -2/3h, and the vertical distance is - 8 feet.
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