Question

Systolic blood pressure is the higher number of blood pressure reading. It is measured as the heart muscle contracts.Heather was with her grandfather when he had his blood pressure checked. The nurse told him that the upper limit of his systolic blood pressure is equal to half his age increased by 110.

Answer 1

Answer:

a) $p \leq \frac{1}{2} a + 110$

b) $p \leq 148 mmHg$ is the normal systolic blood pressure for a 76 years old person.

Step-by-step explanation:

First of all, the question is incomplete, here is the complete question:

Systolic blood pressure is the higher number in a blood pressure reading. It is measured as the heart muscle contacts. Heather was with her grandfather when he had his blook pressure checked. The nurse told him that the upper limit of his systolic blood pressure is equal to half his age increased by 110.

 

A. a is the age in years, and p is the systolic blood pressure  in mmHg (milliliters of Mercury). Write an inequality to represent this situation

 

B. Heather's grandfarther is 76 years old. What is "normal" for his systolic blood pressure?

Solution:

a) The nurse refers to the maximum pressure that can be considered appropriate according to the age of the patient. Thus, inequality should be represented as the upper limit of systolic blood pressure (p) in terms of age (a):

$p \leq \frac{1}{2} a + 110$

(1/2a because the pressure considered to be the limit, is half the age plus the age of the patient)

b) solving for a=76:

$p \leq \frac{1}{2} *76 + 110$

$p \leq 38 + 110$

$p \leq 148$