Mathematics
Grade10
Easy

Question

The function h(x) = -IxI + 34 models the height of the roof of a house, where x is the horizontal distance from the center of the house. If a raindrop falls from the end of the roof, how far from the center of the base does it land?

  1. 16    
  2. 32    
  3. 18    
  4. 15    

hintHint:

We simply plug the value of h(x) into the equation to get the value of x, which is the required distance.

The correct answer is: 18


    Step 1 of 1:
    When a raindrop falls from the end of the roof, h(x) = 16 ft
    x is the distance from the center of the base when h(x) = 16
    h(x) = -IxI + 34
    16 = -IxI + 34
    IxI = 34 – 16 = 18
    It can land on either end of the roof. At that time the distance from the center of the base is 18 ft.
    Final Answer:
    The right choice is-- A. 18

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