A helicopter, initially hovering 40 feet above the ground, begins to gain altitude at a rate of 21 feet per second. Which of the following functions represents the helicopter's altitude above the ground y, in feet, t seconds after the helicopter begins to gain altitude?

Correct answer: B. y = 40 + 21t

  • A. y = 40 + 21
  • B. y = 40 + 21t
  • C. y = 40 - 21t
  • D. y = 40t + 21

Explanation

Choice B is correct. It's given that the helicopter's initial height is 40 feet above the ground and that when the helicopter's altitude begins to increase, it increases at a rate of 21 feet per second. Therefore, the altitude gain t seconds after the helicopter begins rising is represented by the expression 21t. Adding this expression to the helicopter's initial height gives the helicopter's altitude above the ground y, in feet, t seconds after the helicopter begins to gain altitude: y = 40 + 21t.

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