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
