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h=3.2ℓ+82.77
An anthropologist uses the formula to estimate the height, 
h, in centimeters, of a male with an ulna bone that is 
ℓ centimeters long. Which of the following equations correctly gives the length of the ulna bone in terms of the height?
Choose 1 answer:
(A) 
ℓ=(h)/( 3.2)-82.77
(B) 
ℓ=(h-82.77)/(3.2)
(C) 
ℓ=3.2 h-82.77
(D) 
ℓ=h-(82.77)/(3.2)

h=3.2+82.77h=3.2\ell+82.77\newlineAn anthropologist uses the formula to estimate the height, hh, in centimeters, of a male with an ulna bone that is \ell centimeters long. Which of the following equations correctly gives the length of the ulna bone in terms of the height?\newlineChoose 11 answer:\newline(A) =h3.282.77\ell=\frac{h}{3.2}-82.77\newline(B) =h82.773.2\ell=\frac{h-82.77}{3.2}\newline(C) =3.2h82.77\ell=3.2h-82.77\newline(D) =h82.773.2\ell=h-\frac{82.77}{3.2}

Full solution

Q. h=3.2+82.77h=3.2\ell+82.77\newlineAn anthropologist uses the formula to estimate the height, hh, in centimeters, of a male with an ulna bone that is \ell centimeters long. Which of the following equations correctly gives the length of the ulna bone in terms of the height?\newlineChoose 11 answer:\newline(A) =h3.282.77\ell=\frac{h}{3.2}-82.77\newline(B) =h82.773.2\ell=\frac{h-82.77}{3.2}\newline(C) =3.2h82.77\ell=3.2h-82.77\newline(D) =h82.773.2\ell=h-\frac{82.77}{3.2}
  1. Understand the Problem: Step Title: Understand the Problem\newlineConcise Step Description: Understand what the problem is asking for, which is to express the length of the ulna bone (\ell) in terms of the height (hh).\newlineQuestion Prompt: How can we express the length of the ulna bone (\ell) in terms of the height (hh) using the given formula?
  2. Rearrange the Formula: Step Title: Rearrange the Formula\newlineConcise Step Description: Rearrange the given formula to solve for \ell in terms of hh.\newlineCalculation: Start with the original equation h=3.2+82.77h = 3.2\ell + 82.77. To solve for \ell, we need to isolate \ell on one side of the equation. We can do this by subtracting 82.7782.77 from both sides of the equation to get h82.77=3.2h - 82.77 = 3.2\ell. Then, we divide both sides by 3.23.2 to isolate \ell, which gives us (h82.77)/3.2=(h - 82.77) / 3.2 = \ell.
  3. Verify the Correct Answer: Step Title: Verify the Correct Answer\newlineConcise Step Description: Match the rearranged formula with the given answer choices.\newlineCalculation: The rearranged formula is =(h82.77)/3.2\ell = (h - 82.77) / 3.2. This matches with answer choice (B)(B).