The approximate age of a woman whose normal systolic pressure measures 125 mm Hg is 31
The function is given as:
[tex]P(A) = 0.006A^2 - 0.02A + 120[/tex]
When the normal systolic pressure is 125, it means that:
[tex]P(A) = 125[/tex]
So, we have:
[tex]125 = 0.006A^2 - 0.02A + 120[/tex]
Subtract 125 from both sides of the equation
[tex]0= 0.006A^2 - 0.02A + 120 -125[/tex]
[tex]0= 0.006A^2 - 0.02A - 5[/tex]
Rewrite the equation as:
[tex]0.006A^2 - 0.02A - 5 = 0[/tex]
Using a graphing calculator, we have:
[tex]A = \{30.58, -27.25\}[/tex]
But age cannot be negative.
So, we have:
[tex]A = 30.58[/tex]
Approximate
[tex]A =31[/tex]
Hence, the age of the woman is 31
Read more about quadratic functions at:
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