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If w'(t) is the rate of growth of a child in pounds per year, what does 8 w'(t)dt 6 represent?

A. The child's weight at age 8.
B. The child's weight at age 6.
C. The child's initial weight at birth.
D. The change in the child's weight (in pounds) between the ages of 6 and 8.
E. The change in the child's age (in years) between the ages of 6 and 8.

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Answer:

D. The change in the child's weight (in pounds) between the ages of 6 and 8.

Step-by-step explanation:

If w'(t) is the rate of growth of a child in pounds per year then:

[tex]\int\limits^8_6 {w'(t)} \, dt = W(8) - W(6)[/tex]

Represents the amount, in pounds of the weight of a child at 8 years old subtracted by the weight of a child at 6 years old, which is the change in the child's weight between the ages of 6 and 8.

Therefore, the correct answer is alternative D.

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