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

Question

Mathematics

Dario Crane

10 January, 17:58

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

+4

Answers (1)

Know the Answer?

Abram Hines · Answer 1

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.