Question

A formula for the normal systolic blood pressure for a man age A , measured in mmHg, is given as P=0.006A2−0.02A+120 . Find the age of a man whose normal blood pressure measures 124 mmHg.

Answer 1

27.5 years old

Explanation:

We are given the formula:
`P=0.006A^(2) -0.02A+120` relating a patient's pressure to age.

We are also given the value for pressure (P) as 124 mmHg and need to find age (A). In order to do this, we can substitute the value 124 for P in the equation and solve the quadratic equation to obtain A:

`124=0.006A^(2) -0.02A+120`

1. Set equation to 0 by subtracting 124 from both sides:

`124-124=0.006A^(2) -0.02A+120-124\\= > 0.006A^(2) -0.02A-4=0`

2. Solve equation using a calculator:

It should give the solutions:
`A= 27.54, -24.2`

It doesn't really make sense for someone's age to be negative, therefore we can accept the positive solution as our answer.

The man whose normal blood pressure measures 124 mmHg is 27.5 years old.

Hope this helped!