Final answer:
The reappearance of the purple phenotype in the pure-breeding pink population of purple people-eaters is best explained by intragenic suppression, where an additional mutation partially compensates for the original mutation, restoring enough function to the enzyme to produce the purple pigment.
Step-by-step explanation:
The student asked why a purple mutant appeared within the pure-breeding pink population of purple people-eaters, where pink is recessive. The amino acid sequences provided for the enzymes from the original purple population (enzyme 1), the pure-breeding pink population (enzyme 2), and the new purple mutant (enzyme 3) suggest different mutations. Given that enzyme 1 has a sequence of ...Leu-Pro-Val-Ala-Pro..., enzyme 2 is truncated with ...Leu-Leu, and enzyme 3 has an extra Leu resulting in ...Leu-Leu-Leu-Ala-Pro..., the most likely mechanism for the reversion to purple is intragenic suppression. In this case, the third leucine might restore the enzyme's function enough to produce the purple pigment despite the original mutation causing the pink phenotype. The other options like reverse mutation, gene duplication, nonsense suppression, or intergenic suppression do not align well with the amino acid sequences provided.