## 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 w

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 126 mmHg.

Round your answer to the nearest year.

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2021-07-22T07:38:28+00:00
2021-07-22T07:38:28+00:00 1 Answers
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## Answers ( )

Answer:

33 years

Step-by-step explanation:

Given the quadratic model :

P=0.006A2−0.02A+120

P = blood pressure ; A = Age

Given a blood pressure value of 126 mmHg ; the age, A will be ;

The equation becomes :

126 = 0.006A2−0.02A+120

0.006A² – 0.02A + 120 – 126 = 0

0.006A² – 0.02A – 6 = 0

Using the quadratic formula :

-b ± (√b²-4ac) / 2a

a = 0.006 ; b = – 0.02 ; c = – 6

Using calculator :

The roots are :

a = 33.333 or a = – 30

Age cannot be negative, hence, the age, A will be 33.333

Total the nearest year ; Age = 33 years