Question

the formula w/2 - 3H = 53 describes the weight in pounds of a healthy adult for a person who is H inches over 5 feet tall. what is the healthy weight of a person is 5" 6"

Answer 1

FORMULA

The formula used to calculate the weight is given to be:

`(w)/(2)-3H=53`

We can attempt to make the weight, w, the subject of the formula. This we can do by following the steps below:

Step 1: Add 3H to both sides of the formula

`(w)/(2)=53+3H`

Step 2: Multiply both sides of the equation by 2

`w=2(53+3H)`

Step 3: Expand the brackets by multiplying through by 2

`w=106+6H`

CALCULATION

The person is 5' 6". If 5' is subtracted from this height, we have 6 inches. Therefore:

`H=6`

Solving with this value, we can get the weight to be:

`\begin{gathered} w=106+6(6)=106+36 \\ w=142 \end{gathered}`

ANSWER

The healthy weight of a 5' 6" person is 142 pounds.