The front of a roller-coaster car is at the bottom of a hill and is 15 feet above the ground. If the front of the roller-coaster car rises at a constant rate of 8 feet per second, which of the following equations gives the height h, in feet, of the front of the roller-coaster car s seconds after it starts up the hill?

Correct answer: A. h = 8s + 15

  • A. h = 8s + 15
  • B. h = 15s + 335/8
  • C. h = 8s + 335/15
  • D. h = 15s + 8

Explanation

Choice A is correct. It's given that the front of the roller-coaster car starts rising when it's 15 feet above the ground. This initial height of 15 feet can be represented by a constant term, 15, in an equation. Each second, the front of the roller-coaster car rises 8 feet, which can be represented by 8s. Thus, the equation h = 8s + 15 gives the height, in feet, of the front of the roller-coaster car s seconds after it starts up the hill.

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