Final answer:
To find out how many times larger n(x) is as compared to d(x) when x = 4, the ratio n(4) / d(4) should be used, which provides the scale factor of n to d at the given value of x. Option D is correct.
Step-by-step explanation:
The question is asking for the comparison of two functions, n(x) and d(x), when x equals 4. To determine how many times larger n(x) is compared to d(x) at that specific value, we need to use the formula n(4) / d(4). This formula will give us the ratio or the scale factor of n to d when x is 4, which essentially tells us how many times larger n(x) is compared to d(x).
To determine how many times larger n(x) is than d(x) when x = 4, we can calculate the values of n(x) and d(x) and then compare them.
Let's say n(x) = 2x and d(x) = x/2. Plugging in x = 4, we get n(4) = 2(4) = 8 and d(4) = 4/2 = 2.
To find the ratio of n(x) to d(x), we divide n(4) by d(4): n(4)/d(4) = 8/2 = 4.
Therefore, when x = 4, n(x) is 4 times as large as d(x).