Assume that height is a function of age and that H=f(a) is the average height (in inches) for females in the US at age (a) years. What is the practical interpretation of f(z)+20?
a. 20 years older than the average US female who is z inches tall
b. 20 inches taller than the average height of a z year old US female
c. 20 plus the number of US females who are z inches tall
Please provide an exclamation with your answer.
clearly it is (b)
To determine the practical interpretation of the expression f(z) + 20, let's break it down step by step.
First, let's consider the function f(z). According to the information given, f(a) represents the average height in inches of females in the US at the age of a years. In other words, f(a) is the average height of US females when they reach a certain age a.
Now, let's focus on the expression f(z) + 20. Here, z represents a specific value, which is the height (in inches) of a female at a certain age. Adding 20 to f(z) means we are taking the average height of US females at that age (f(z)) and adding 20 inches to it.
Therefore, the practical interpretation of f(z) + 20 is that it represents an individual who is 20 inches taller than the average height of a female at the specific age (z).
The correct answer is:
b. 20 inches taller than the average height of a z year old US female.