Please help, and step by step

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?

Answer 1

First calculate what the upper limit of the pressure (p) is equal to, which is half the age (a) plus 110 

 

Upper limit is p = (1/2)*a + 110 

 

The upper limit is a maximum value so good values will be less than this which means 

 

p ≤ (1/2)*a + 110  is the inequality 

 

If a = 76 then 

p ≤ (1/2)*76 + 110  

p ≤ 38 + 110

p ≤ 148     is the normal pressure