Hello,

Question

I'm trying to figure out how to do this problem, but don't know where to begin. I think some information is missing.

Blood Pressure:
The function P=120+30Sin 2pi(t) models the blood pressure (in millimeters of mercury) for a person who has a high blood pressure of 150/90; t represents seconds.

a. What is the pressure of this function?

b. How many heartbeats are there each minute?

Answer 1

Well, that is the pressure
120+30 = 150 maximum
120 - 30 = 90 minimuum
look at that sin function
at t = 0, it is 30 sin 0 = 0
at t = 1, it is sin 2 pi = 0, a full period
so a period is one second
so there are 60 periods per minute

Answer 2

a) sub any time t to find the pressure at that moment.

b) the difference of time between a high pressure moment and the next high pressure moment would be one heartbeat.
so find the period of the function, which is 2pi/2pi = 1 sec
so there are 60 heartbeats per minute

Answer 3

The function P(t) = 120 + 30 sin (2πt) models the blood pressure (in millimeters of mercury) for a
person who has a blood pressure of 150/90 (which is high); t represents seconds. What is the period of
this function?