Maths-
General
Easy

Question

The function W gives the estimated weight W (L), in pounds, of a rainbow trout based on its Length L, in inches. Which of the following is the best interpretation of the number 1.22 in this context?
W (L) = 0.04 (1.22)L

  1. For each increase of 1 pound in weight, the estimated length of the trout, in inches, increases by 22%.  
  2. For each increase of 1 inch in length, the estimated weight of the trout, in pounds, increases by 22%.  
  3. For each increase of 1 pound in weight, the estimated length of the trout increases by 1.22 inches.  
  4. For each increase of 1 inch in length, the estimated weight of the trout increases by 1.22 pounds.  

The correct answer is: For each increase of 1 inch in length, the estimated weight of the trout, in pounds, increases by 22%.


    For a f(x) = x + 2, we say that f(x) is dependent on the variable x i.e. x is the independent variable and fraction numerator f left parenthesis x right parenthesis over denominator y end fraction is the dependent function/ variable.
    Step-by-step solution:-
    As per the above hint, Options A & C are eliminated as there W is said to be the varying/ Independent variable on the basis of which L changes.
    From the remaining option B & D, B is the correct option.
    Final Answer:-
    Option B i.e. For each increase of 1 inch in length, the estimated weight of the trout, in pounds, increases by 22%. is the correct Option.

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