QuestionQuestion 4 (1 point) The function below is a blood pressure model that describes a person's blood pressure in mm Hg as a function of time in seconds. $$P(t)=15 \sin \left(\frac{13 \pi}{6} t\right)+110$$
What is this person's heart rate in beats per minute? A bpm What is this person's maximum blood pressure? $\square$ $$\underbrace{}_{\mathrm{mmHg}}$$
What is this person's minimum blood pressure? $\square$ A) mmHg

Studdy Solution
The minimum blood pressure occurs at the minimum value of the sine function, which is -1. The function is:
$$P(t) = 15 \sin \left(\frac{13 \pi}{6} t\right) + 110$$
The minimum value of $\sin \left(\frac{13 \pi}{6} t\right)$ is -1, so:
$$\text{Minimum Pressure} = 15 \times (-1) + 110 = 95$$
The person's heart rate is $\boxed{65}$ bpm, the maximum blood pressure is $\boxed{125}$ mmHg, and the minimum blood pressure is $\boxed{95}$ mmHg.