SOLUTION: A person’s resting blood pressure is 116 over 88. This means that the blood pressure oscillates between a maximum of 116 and a minimum of 88. The person’s resting heart rate is

Algebra ->  Trigonometry-basics -> SOLUTION: A person’s resting blood pressure is 116 over 88. This means that the blood pressure oscillates between a maximum of 116 and a minimum of 88. The person’s resting heart rate is      Log On


   

Question 1165349: A person’s resting blood pressure is 116 over 88. This means that the blood pressure oscillates between a maximum of 116 and a minimum of 88. The person’s resting heart rate is 60 beats per minute. Let P represent the blood pressure and t represent the time in seconds. Write the equation for the blood pressure P as a function of time t seconds.
Answer by ikleyn(52803) About Me  (Show Source):
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A person’s resting blood pressure is 116 over 88. This means that the blood pressure oscillates
between a maximum of 116 and a minimum of 88. The person’s resting heart rate is 60 beats per minute.
Let P represent the blood pressure and t represent the time in seconds.
Write the equation for the blood pressure P as a function of time t seconds.
~~~~~~~~~~~~~~~~~~~~~~~ 

Mid-line is  a = %28116%2B88%29%2F2 = 102.


The amplitude is  A = %28116-88%29%2F2 = 14.


The period is  T = 60%2F60 = 1 second.


The cosine function is

    P(t) = a+%2B+A%2Acos%282%2Api%2A%28t%2FT%29%29 = 102 + 14*cos(6.28*t),


where t is the time in seconds.

Solved.