h=3.2ℓ+82.77An 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=3.2h−82.77(B) ℓ=3.2h−82.77(C) ℓ=3.2h−82.77(D) ℓ=h−3.282.77
Q. h=3.2ℓ+82.77An 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=3.2h−82.77(B) ℓ=3.2h−82.77(C) ℓ=3.2h−82.77(D) ℓ=h−3.282.77
Understand the Problem: Step Title: Understand the ProblemConcise Step Description: Understand what the problem is asking for, which is to express the length of the ulna bone (ℓ) in terms of the height (h).Question Prompt: How can we express the length of the ulna bone (ℓ) in terms of the height (h) using the given formula?
Rearrange the Formula: Step Title: Rearrange the FormulaConcise Step Description: Rearrange the given formula to solve for ℓ in terms of h.Calculation: Start with the original equation h=3.2ℓ+82.77. To solve for ℓ, we need to isolate ℓ on one side of the equation. We can do this by subtracting 82.77 from both sides of the equation to get h−82.77=3.2ℓ. Then, we divide both sides by 3.2 to isolate ℓ, which gives us (h−82.77)/3.2=ℓ.
Verify the Correct Answer: Step Title: Verify the Correct AnswerConcise Step Description: Match the rearranged formula with the given answer choices.Calculation: The rearranged formula is ℓ=(h−82.77)/3.2. This matches with answer choice (B).