Question

If w'(t) is the rate of growth of a child in pounds per year, what does 7 w'(t)dt 4 represent? The change in the child's weight (in pounds) between the ages of 4 and 7. The change in the child's age (in years) between the ages of 4 and 7. The child's weight at age 7. The child's weight at age 4. The child's initial weight at birth.

Answer 1

Complete Question

If w'(t) is the rate of growth of a child in pounds per year, what does

$\int\limits^{7}_{4} {w'(t)} \, dt$  represent?

a) The change in the child's weight (in pounds) between the ages of 4 and 7.

b) The change in the child's age (in years) between the ages of 4 and 7.

c) The child's weight at age 7.

d) The child's weight at age 4. The child's initial weight at birth.

Answer:

The correct option is  option a

Step-by-step explanation:

From the question we are told that

       $w'(t)$ represents the rate of growth of a child in   $\frac{pounds}{year}$

So      ${w'(t)} \, dt$  will be in  $pounds$

Which then mean that this  $\int\limits^{7}_{4} {w'(t)} \, dt$  the change in the weight of the child between the ages of  $4 \to 7$ years