Question

Your normal blood pressure is a function of your age. for females, the normal systolic pressure p in millimeters of mercury (mm hg) is modeled by p=0.01a2 0.5a 107, where a is age in years. at about what age is a female’s normal systolic blood pressure 132 mm hg? multiple choice question. cross out a) 21 years old cross out b) 31 years old cross out c) 81 years old

Answer 1

The normal systolic blood pressure of a female is modeled by a quadratic equation. By solving the equation, the age is approximately 31 years old.

Step-by-step explanation:

To find the age at which a female's normal systolic blood pressure is 132 mm Hg, we can set up the equation p = 0.01a^2 + 0.5a + 107 and solve for a. Substituting p = 132, we have 132 = 0.01a^2 + 0.5a + 107. Rearranging the equation, we get 0.01a^2 + 0.5a - 25 = 0. We can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. By solving the equation, we find that the age is approximately 31 years old.