Concept explainers
Blood Pressure Blood pressure is a way of measuring the amount of force exerted on the walls of blood vessels. It is measured using two numbers: systolic (as the heart beats) blood pressure and diastolic (as the heart rests) blood pressure. Blood pressures vary substantially from person to person, but a typical blood pressure is 120/80, which means the systolic blood pressure is 120 mmHg and the diastolic blood pressure is 80 mmHg. Assuming that a person’s heart beats 70 times per minute, the blood pressure of an individual after t seconds can be modeled by the function
a. In the interval , determine the times at which the blood pressure is 100 mmHg.
b. In the interval , determine the times at which the blood pressure is 120 mmHg.
c. In the interval , determine the times at which the blood pressure is between 100 and 105 mmHg.
To find:
a. In the interval , determine the times at which the blood pressure is 100 mmHg.
Answer to Problem 103AYU
a.
Explanation of Solution
Given:
Blood Pressure Blood pressure is a way of measuring the amount of force exerted on the walls of blood vessels. It is measured using two numbers: systolic (as the heart beats) blood pressure and diastolic (as the heart rests) blood pressure. Blood pressures vary substantially from person to person, but a typical blood pressure is , which means the systolic blood pressure is 120 mmHg and the diastolic blood pressure is 80 mmHg. Assuming that a person’s heart beats 70 times per minute, the blood pressure P of an individual after seconds can be modeled by the function .
Calculation:
a. Determine the times at which the blood pressure is 100 mmHg.
To find:
b. In the interval , determine the times at which the blood pressure is 120 mmHg.
Answer to Problem 103AYU
b.
Explanation of Solution
Given:
Blood Pressure Blood pressure is a way of measuring the amount of force exerted on the walls of blood vessels. It is measured using two numbers: systolic (as the heart beats) blood pressure and diastolic (as the heart rests) blood pressure. Blood pressures vary substantially from person to person, but a typical blood pressure is , which means the systolic blood pressure is 120 mmHg and the diastolic blood pressure is 80 mmHg. Assuming that a person’s heart beats 70 times per minute, the blood pressure P of an individual after seconds can be modeled by the function .
Calculation:
b. Determine the times at which the blood pressure is 120 mmHg.
To find:
c. In the interval , determine the times at which the blood pressure is between 100 and 105 mmHg.
Answer to Problem 103AYU
c.
Explanation of Solution
Given:
Blood Pressure Blood pressure is a way of measuring the amount of force exerted on the walls of blood vessels. It is measured using two numbers: systolic (as the heart beats) blood pressure and diastolic (as the heart rests) blood pressure. Blood pressures vary substantially from person to person, but a typical blood pressure is , which means the systolic blood pressure is 120 mmHg and the diastolic blood pressure is 80 mmHg. Assuming that a person’s heart beats 70 times per minute, the blood pressure P of an individual after seconds can be modeled by the function .
Calculation:
c. Determine the times at which the blood pressure is between 100 and 105 mmHg.
The times at which the blood pressure is 100 mmHg is .
The times at which the blood pressure is 105 mmHg.
The times at which the blood pressure is between 100 and 105 mmHg.
Chapter 7 Solutions
Precalculus
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