Question

Solve the problem.

10) The weight W of a bird's brain (in ounces) is related to the volume V of the bird's skull (in cubic ounces) through the function W(V) =3.49student submitted image, transcription available below+1.18.
(a) Express the skull volume V as a function of brain weight W.
(b) Predict the skull volume of a bird whose brain weighs 3 oz.

Answer 1

In part (a) of the question, we are asked to express the skull volume V as a function of brain weight W. By rearranging the given equation, we can solve for V. In part (b), we are asked to predict the skull volume for a bird with a brain weight of 3 oz, which can be done by substituting the given value into the equation for V.

Step-by-step explanation:

(a) To express the skull volume V as a function of brain weight W, we need to rearrange the given function W(V) = 3.49V + 1.18. Start by subtracting 1.18 from both sides of the equation to isolate 3.49V: W - 1.18 = 3.49V. Now, divide both sides by 3.49 to solve for V: V = (W - 1.18)/3.49.

(b) To predict the skull volume of a bird whose brain weighs 3 oz, substitute W = 3 into the equation for V: V = (3 - 1.18)/3.49 = 0.795 cubic ounces.