Word problem for pre calculus.

Question

The function

 

 

P= 120+30sin 2(pi)t

 

models the blood pressure (in millimeters of mercury) for a person who has a (high) blood pressure of 150/90; t represents time in seconds.

 

 

C) graph this function to model a 10-sec time interval.

Answer 1

I can't graph it here.

 

The graph of y = 120 + 30sin(2πt) is similar in shape to the graph of y = sint but has amplitude 30,

period = (2π) / (2π) = 1 sec and is shifted upward 120 units.

 

Between t = 0 and t = 1, graph a sine wave starting at the point (0,120) with highest point (1/4, 150),

lowest point (3/4,  90), and such that the points (1/2, 120) and (1, 120) also lie on the graph.  

 

Make a copy of the graph for each second thereafter until t = 10 is reached.