Question

Normal systolic blood pressure is a function of age. For a woman, the normal systolic pressure, P, in millimeters of mercury (mm Hg) is modeled by

P = 0.01 A2 + 0.05 A + 107

where A is age in years.

What is the approximate age of a woman whose normal systolic pressure measures 125 mm Hg?

Answer 1

40

Explanation:

You want to find A for P=125. Putting the known values into the equation, we can solve for A.

125 = 0.01A² +0.05A +107

A² +5A -1800 = 0 . . . . . . . . . subtract 125; multiply by 100

(A +45)(A -40) = 0 . . . . . . factor

The positive value of A that makes a factor zero is A=40.

The approximate age of the woman is 40.