The volume of blood in a person's body is proportional to body weight. A person who weighs 140 pounds has approximately 4 quarts of blood. Estmate the number of quarts of blood in a person who weighs 100 pounds. Determine the proportion. 100 140 Do not simplfty) There are approximately quarts of blood in a person who weighs 100 pounds. Round to two decimal places as needed.)

Respuesta :

Answer:

Step-by-step explanation:

When two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. Also, a decrease in the value of one variable would cause a corresponding decrease in the other variable.

The volume,V of blood in a person's body is proportional to body weight,W. If we introduce a proportionality constant, k, the expression becomes

W = kV

A person who weighs 140 pounds has approximately 4 quarts of blood. It means that

140 = 4k

k = 140/4 = 35

The equation becomes

W = 35V

Therefore, for a person who weighs 100 pounds, the quarts of blood would be

100 = 35V

V = 100/35

V = 2.86 quarts