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 and time is measured in seconds.
The graph of is drawn above.
Match the following features of the graph to their corresponding meanings.
Meaning of the period
The amplitude of
Meaning of the amplitude
The period of
The blood pressure (systolic/diastolic) modeled by
1. The change in blood pressure from the mean
2. The duration of one heartbeat (in seconds)
3.
4.
5. 25 mmHg
6. The maximum blood pressure
7. 115 mmHg
8.
9. 48 bpm
10. 1.25 sec
Studdy Solution
Match the amplitude and period to their corresponding meanings:
- The amplitude of is , which corresponds to:
- 1. The change in blood pressure from the mean
- 5. 25 mmHg
- The period of is , which corresponds to:
- 2. The duration of one heartbeat (in seconds)
- 4.
The matches are:
- Amplitude: corresponds to 1 and 5.
- Period: corresponds to 2 and 4.
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