Question

1. many pediatric doses of drugs should be based on the child’s surface area. the mosteller formula is often used for this purpose. to determine the surface area (in square meters), the child’s height (in inches) and weight (in pounds) are multiplied together; this number is divided by 3131 and then a square root is taken of the result.

a. the mosteller formula is described in the problem above. write this as a formula using variables and mathematical symbols.

Explanation:

Step1: Define variables

Let $h$ be the child's height in inches and $w$ be the child's weight in pounds, and $A$ be the surface - area in square meters.

Step2: Translate the description into formula

First, we multiply the height and weight: $h\times w$. Then we divide by 3131: $\frac{h\times w}{3131}$. Finally, we take the square - root. So the formula is $A = \sqrt{\frac{h\times w}{3131}}$.

Answer:

$A=\sqrt{\frac{hw}{3131}}$