Question

If everyone had the same body proportion your weight in pounds would vary directly with the cube root of your height in feet according to Wikipedia the most recent statics available in 2009 indicated that the average height and weight for an adult male in the United States is 5 feet 9.4 inches in 191 pounds

Answer 1

Given

Height

5 ft 9.4 inches

Weight

191 pounds

Procedure

Let's calculate the equation to define the weight of a person. The structure of the equation would be as follows:

`w=kh^3`

Replacing the values to calculate k

`\begin{gathered} 191=k(5.7833)^3 \\ k=(191)/(5.78^3) \\ k=0.98 \end{gathered}`

The equation would be

`w=0.98h^3`