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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Thạch Thảo 1 week 2021-07-22T07:38:28+00:00 1 Answers 2 views 0

Answers ( )

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    2021-07-22T07:40:15+00:00

    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

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