Question

he average weight of an infant, in pounds, can be represented by the function below where P represents the weight, in pounds, and 'a' represents the age, in months. P = 3.4a + 7.2 The appropriate domain for the function P is: A. All real numbers B. Positive real numbers C. Non-negative real numbers D. Non-positive real numbers

Answer 1

From the function P = 3.4a + 7.2, 'a' represents the age in months. In real life scenarios, age can't be a negative value. Therefore, the age in months won't take a negative value either.

As we're dealing with real-life situations, 'a' additionally can't be a non-real number. That means 'a' won't be an imaginary or a complex number. It's because age is always a quantity that we can measure directly, and it's always a real value.

So, considering the nature of this particular problem, 'a' can't be negative or non-real. Therefore, the appropriate domain of the function P, in this case, is the set of non-negative real numbers.

Hence, the correct answer is C. Non-negative real numbers.

Answer: C. Non-negative real numbers