Answer:
(A)The systolic pressure of a person of age 44 is 135.1 mm Hg
(B) If a person's systolic pressure is 133.36 mm Hg, their age is 41 years.
Step-by-step explanation:
Given : P = 0.007 y² - 0.01 y +122
where P is systolic pressure and y is age of a person
(A) Here age of the person, y =44
So, P =0.007 (44²) -0.01 (44) +122 = 13.552 -0.44 +122 = 135.112 =135.1 mm
∴ The systolic pressure of a person of age 44 is 135.1 mm Hg
(B) Here P = 133.36 mm Hg
So,
133.36 = 0.007 y² - 0.01 y +122
=>0.007 y² -0.01 y -11.36 =0
=> 7 y² -10 y -11360 =0
Solving the above quadratic equation using quadratic formula, we have
[tex]y = \frac{5+\sqrt{79545} }{7}[/tex]
or [tex]y = \frac{5-\sqrt{79545} }{7}[/tex]
y = 41 or y = -39.57
Since age cannot be negative, y= 41
∴ If a person's systolic pressure is 133.36 mm Hg, their age is 41 years.
