I need help to complete the calculation in (b) and (C)? I want to have the exact value of K.

Here below the problem and the solution:

Problem:

RATIONAL INEQUALITY AND APPLICATIONS

According to the Centers for Disease Control and Prevention www.cdc.gov, a person's Body Mass Index B is directly proportional to his weight W in pounds and inversely proportional to the square of his height h in inches.

(a) Express this relationship as a mathematical equation.

(b) If a person who was 5 feet, 10 inches tall weighed 235 pounds had a Body Mass Index of 33.7, what is the value of the constant of proportionality?

(c) Rewrite the mathematical equation found in partato include the value of the constant found in partband then find your Body Mass Index.

My proposed Solution:

a) Direct proportion is expressed using y = kx (where k is a constant) and Inverse proportion is expressed as y = k/x (where k is a constant).Thus, for this equation we will have B = (k*W)/H2.W is on the top because it is directly proportional to Body Mass Index (B) and H2is on the bottom because B is inversely proportional to the height (H) squared.

b) First, convert the height (5 feet, 10 inches) to inches by multiplying 5 feet * 12 = 60 inches + 10 inches = 70 inches.Then plug in the values for B (33.7) and W (235) and solve for k.

B = (k*W)/H2

33.7 = (k*235) / (70)2

33.7 = (235k)/4900

165130 = 235k

c)Once we find the value from part (b), then plug in k, W ( our weight in pounds) and H (our height in inches) to the formula and simplify to find B.

B = (k*W)/H2