Part 1: The constant of variation can be computed by plugging in the blood quantity for y and the person's body weight for x. Part 2: Yes, an equation can be written (using the constant found in Part 1). The equation is $y = .02875 *x$ Part 3: The second person's weight can be entered into the equation, and this value can be multiplied by the constant to find the quarts of blood for the second person.
Work Step by Step
Part 1: $y = k*x$ $4.6 = 160 * x $ $4.6/160 = 160 * x / 160$ $.02875 = x $ Part 3: $y = .02875 * x$ $y = .02875 * 175$ $y = 5.03125$