Final answer:
The correct function rule that represents subtracting 5 from a number n and then doubling the result is p = 2(n - 5), which corresponds to option A.
Step-by-step explanation:
To determine the correct function rule based on the set of instructions provided, we must translate the words into mathematical operations. The instructions ask us to subtract 5 from a number n and then double that result. Therefore, the first step is to perform the subtraction, which is represented mathematically as (n - 5). Following that, we are instructed to double the result, which can be represented mathematically as multiplying by 2, or 2 × (n - 5). Combining these operations, we obtain the function rule p = 2(n - 5), which matches exactly with option A.
As for the other options, they do not accurately represent the set of instructions. Option B is missing parentheses and therefore implies that we double n and then subtract 5, which is not correct based on the instructions. Option C and Option D incorrectly present n as the result, rather than p, and they do not represent the correct operations as described by the instructions.