The rule is that a number n maps to n² + 4. For n = 2, we get 2² + 4 = 4 + 4 = 8, and for n = 3, we get 3² + 4 = 9 + 4 = 13, matching the given examples. Applying the same rule to n = 5 yields 5² + 4 = 25 + 4 = 29. Hence, 5 maps to 29 under this square-plus-four rule.
Option A:
Option A, 21, could arise from a different linear rule like 4n + 13, but it does not agree with the n² + 4 pattern shown by the examples.
Option B:
Option B, 29, is exactly 5² + 4 and therefore fits the defined function rule for this analogy.
Option C:
Option C, 31, would correspond to 5² + 6, which changes the constant term and breaks the consistency of the mapping.
Option D:
Option D, 35, is even further from 29 and does not follow from squaring and then adding a fixed constant.
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