Maths-
General
Easy

Question

f (x) = -0.001160 (x - 251.5)2 + 73.37
The vertical height, in meters, of the upper arch of the Harbour Bridge in Sydney, Australia, above the roadway of the bridge can be modeled by the function above, where x is the horizontal distance along the roadway, in meters, from the entry to the bridge. The graph of y = f (x) is shown in the xy-plane below.
In the graph, the point (0,0) represents the entry to the bridge. Which of the following points represents the exit from the bridge on the opposite end?

  1. (0,73.37)
  2. (0,503.0)
  3. (73.37,0)
  4. (503.0,0)

The correct answer is: (503.0,0)


    Hint:
    Exit from the bridge on the opposite end = end of line represented by y = f (x) in the given graph.
    Step-by-step solution:-
    From the graph given in the question, we can see that line represented by y = f (x) ends at point A (500,0).
    From the given options, the value closest to our answer is (503.0, 0)
    Final Answer:

    Option D i.e. (503.0,0) is the correct Option.

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