If there is an appreciation of the Kina relative to the Yen, it means that the Kina has strengthened against the Yen. In this case:
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A. would need more Kina to buy Japanese goods. (This is incorrect; if the Kina appreciates, it would require fewer Kina to buy Japanese goods.)
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B. get fewer Yen per Kina on the foreign exchange market. (This is incorrect; if the Kina appreciates relative to the Yen, you would get more Yen per Kina, not fewer.)
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C. goods become more expensive for the Japanese to buy than before. (This is correct; if the Kina appreciates, it means that the cost of goods from Papua New Guinea (PNG) becomes more expensive for Japanese buyers.)
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D. goods become cheaper for the Japanese to buy than before. (This is incorrect; if the Kina appreciates, it should make PNG goods more expensive for Japanese consumers.)
Therefore, the correct answer is C. goods become more expensive for the Japanese to buy than before.