Answer
a) The constant of variation is found by dividing the body weight value by the number of quarts of blood in the body. This can be shown as $ \frac{160}{3.6} $ which gives a value of approximately 34.8. This is the constant of variation between body weight and quarts of blood.
b) The equation that can be written is $ y= \frac{x}{34.8} $ with y being the amount of blood in quarts and x being the body weight of a person in pounds. This is an equation that can be used to solve for any body weight x to find the amount of blood due to the constant of variation being applied.
c) This equation can be used to solve the problem: how much blood is in a person that weighs 175lbs? This expression is as follows: $ y= \frac{175}{34.8} $. This value then simplifies to approximately 5.03 quarts of blood.
Work Step by Step
Explanation above.
