Chapter 6.3, Problem 85E

Blood Pressure Each time your heart beats, your blood pressure first increases and then decreases as the heart rests between beats. The maximum and minimum blood pressures are called the systolic and diastolic pressures, respectively. Your blood pressure reading is written as systolic/diastolic. A reading of $\frac{120}{80}$ is considered normal.

A certain person’s blood pressure is modeled by the function

$p\left(t\right)=115+25\sin \left(160\pi \right)$

Where $p\left(t\right)$ is the pressure in mmHg (millimeters of mercury), at time $t$ measured in minutes.

(a) Find the period of $p$.

(b) Find the number of heart beats per minute.

(c) Graph the function $p$.

(d) Find the blood pressure reading. How does this compare to normal blood pressure?