For the following statement, choose the combination of two words that accurately fill the two gaps: If the exchange rate changes from ¥110 = $1 to ¥120 = $1, the dollar has ___________ and the yen has ___________.

Question

BlackTom AI · Accepted Answer

When the exchange rate moves from ¥110 per $1 to ¥120 per $1, one U.S. dollar now buys more yen, so the dollar has appreciated and the yen has depreciated.

1. Relevant knowledge points and concepts
- Exchange-rate quote "¥110 = $1" means one dollar buys 110 yen (yen per dollar).
- Appreciation of a currency means it can buy more of a foreign currency; depreciation means it buys less.
- Reciprocal conversion (dollars per yen) can also be used to see the yen’s change in value.

2. Step-by-step reasoning
- Start: $1 = ¥110. End: $1 = ¥120.
- Compare what one dollar buys before and after: before it bought 110 yen; after it buys 120 yen. That is an increase in the purchasing power of the dollar in terms of yen → dollar has strengthened (appreciated).
- For the yen, invert the quotes to see what one yen buys in dollars: initially 1 yen = $1/110 ≈ $0.0090909; later 1 yen = $1/120 ≈ $0.0083333. The dollar amount received per yen falls → yen has lost value → depreciated.

3. Calculations and intermediate steps
- Dollar change in yen terms: (120 − 110) / 110 = 10/110 ≈ 0.0909 → dollar up ≈ 9.09% vs. yen.
- Yen change in dollar terms: (0.0083333 − 0.0090909) / 0.0090909 ≈ −0.08333 → yen down ≈ 8.33% vs. dollar.

4. Why the correct answer is correct
Because the dollar purchases more yen after the change (appreciation) and the yen purchases fewer dollars (depreciation), the accurate description is "dollar appreciated; yen depreciated."

5. Why the other options are incorrect
- a (both appreciated): wrong because yen did not gain purchasing power.
- b (both depreciated): wrong because the dollar gained purchasing power.
- c (dollar depreciated; yen appreciated): reversed; the dollar actually strengthened, not weakened.

6. Conclusion
The correct choice is d. appreciated; depreciated, which matches the provided answer.

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For the following statement, choose the combination of two words that accurately fill the two gaps: If the exchange rate changes from ¥110 = $1 to ¥120 = $1, the dollar has ___________ and the yen has ___________.单项选择题

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希望你的学习变得更简单

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