QuestionProblems that involve a regularly repeating pattern or oscillation can be modeled by trigonometric functions. A common example is using a trigonometric function to model blood pressure. Blood pressure measures the cyclic variation of pressure on the arterial wall as a response to heart rhythm.
The function below models the pressure cycle for one heartbeat. Pressure is measured in mm of mercury $(\mathrm{Hg})$ and time is measured in seconds. $$P(t)=25 \sin \left(\frac{5 \pi}{2} t\right)+115$$
The graph of $\mathrm{P}(\mathrm{t})$ is drawn above. Match the following features of the graph to their corresponding meanings. $\square$ The period of $\mathrm{P}(\mathrm{t})$
1. The change in blood pressure from the mean Meaning of the period The blood pressure (systolic/diastolic)
2. The duration of one heartbeat (in seconds) modeled by $\mathrm{P}(\mathrm{t})$
3. $140 / 90$
4. $4 / 5 \mathrm{sec}$ The amplitude of $\mathrm{P}(\mathrm{t})$
5. 25 mmHg Meaning of the
6. The maximum blood pressure amplitude
7. 115 mmHg
8. $115 / 25$
9. 48 bpm
10. 1.25 sec