Advance Algebra 2

Question

Forensic scientists use the equation h=2.6f+47.2 to estimate the height h of woman given the length in centimeters f of her femur bone.

suppose the equation has a margin of error of + and - 3 centimeters. Write an inequality to represent the height of a women given the length of her femur bone.

Answer 1

If h = 2.6f + 47.2 estimates h given f  with a MOE of ±3cm

 

and f = 48cm

 

Then,

 

h = 2.6(48) + 47.2 = 172cm

 

Since the margin of error = ±3

 

The inequality representing the height h of a woman given the length f of her femur is,

 

169cm ≤ h ≤ 175cm 

 

Or,

 

|H - 172cm| ≤ 3