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Question

Selected values of Sam's walking speed in Km per hour (km/h) and his corresponding pulse in beats per minute (bpm) is listed in the given table. There is linear relationship between Sam's speed x and his pulse f(x). Which of the following equations describes f(x)?

  1. f(x) = x + 57    
  2. f(x) = -x + 97    
  3. f(x) = 5x + 57    
  4. f(x) = -5x + 97    

The correct answer is: f(x) = 5x + 57


    Since one of the given equations describes the relationship between speed (km/hr) and pulse rate (bpm), we can substitute the values of f(x) and x in each equations. For the correct equation, LHS = RHS.
    Step-by-step solution:-
    We substitute the values of Speed and the corresponding values of pulses as x and f(x) respectively in each of the 4 equations.

    Final Answer:-
    Since equation in Option C is satisfied by all the 3 points (x, f(x)) given in the question,
    Option C i.e. f(x) = 5x + 57 is the correct answer.

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