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23 March, 23:29

A person x inches tall has a pulse rate of y beats per minute, as given approximately by yequals600 x Superscript negative 1 divided by 3 for 30 less than or equals x less than or equals 75. What is the instantaneous rate of change of pulse rate for the following heights? (A) 39 -inches (B) 71 -inches What is the instantaneous rate of change of pulse rate for a 39 inch tall person?

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  1. 23 March, 23:59
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    a) 5.13beats/min

    b) 2.82 beats/min

    Step-by-step explanation:

    Given the pulse rate of a person modelled by the equation y = 600x^-1/3 for 30≤x≤75

    If the height is 39inches, the instantaneous rate of change of pulse rate for the heights will be expressed as;

    y = 600 (39) ^-1/3

    y = {600 (1/39) }/3

    y = 600/39*3

    y = 600/117

    y ≈ 5.13beats/min

    The instantaneous rate for a 39 inches tall person is 5.13 beats per min

    b) For a 71inches tall person, the beat rate will be expressed as;

    y = 600 (71) ^-1/3

    y = {600 (1/71) }/3

    y = 600/71*3

    y = 600/213

    y ≈ 2.82 beats per minute

    The instantaneous rate for a 71 inches tall person is 2.82 beats per min
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