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

Explanation:

From the question we are told that

`w'(t)` represents the rate of growth of a child in
`(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