Question

A= 1,321 +0.3433m

The equation above can be used to estimate the body surface area A, in square centimeters, of a child with mass
m, in grams, where 3,000 sms 30,000 Which of the following statements is consistent with the equation?
O a
A. For each increase of 1 gram in mass, A increases by approximately 0.3433 square centimeter.
Ob
B. For each increase of 0.3433 gram in mass, A increases by approximately 1 square centimeter.
Ос
C For each increase of 1 gram in mass, A increases by approximately 1,321 square centimeters.
Od
D. For each increase of 1,321 grams in mass, A increases by approximately 1 square centimeter.

Answer 1

Option A: For each increase of 1 gram in mass, A increases by approximately 0.3433 square centimeter.

Explanation:

We are given the function;

A= 1321 + 0.3433m

To find the rate of increase of the area, we will find the derivative of the function. Thus;

dA/dm = 0.3433

This means that the area increases at the rate of 0.3433 Sq.metre for each additional 1 gram added to the mass.

Looking at the given options, the one that corresponds to our answer is Option A