The problem asks us to identify the statement that is demonstrably true based on the provided table of export and import data in both Yen (億円) and USD (100万ドル). The available choices are: * If the export amount of Heisei 1 is 100, then the export amount of Heisei 6 is only about 107 in Yen, but exceeds 150 in USD. * From Heisei 5 to 6, the Yen appreciated by more than 8 Yen per dollar. * Compared to Showa 50, the export amount of Heisei 6 has increased by about 2.5 times in Yen, but the import amount is less than 1.5 times. * From Showa 63 to Heisei 6, every year, the export amount exceeds 1.4 times the import amount. * From Heisei 1 to 6, the trade volume in Yen (export amount + import amount) was highest in Heisei 3.

1. Problem Description

The problem asks us to identify the statement that is demonstrably true based on the provided table of export and import data in both Yen (億円) and USD (100万ドル). The available choices are:

* If the export amount of Heisei 1 is 100, then the export amount of Heisei 6 is only about 107 in Yen, but exceeds 150 in USD.

* From Heisei 5 to 6, the Yen appreciated by more than 8 Yen per dollar.

* Compared to Showa 50, the export amount of Heisei 6 has increased by about 2.5 times in Yen, but the import amount is less than 1.5 times.

* From Showa 63 to Heisei 6, every year, the export amount exceeds 1.4 times the import amount.

* From Heisei 1 to 6, the trade volume in Yen (export amount + import amount) was highest in Heisei

3.

2. Solution Steps

* Choice 1: 平成元年の輸出額を100とすると、平成6年の輸出額は円建では107ほどにすぎないが、ドル建では150を越える。

* Heisei 1 (Yen export): 378,225

* Heisei 6 (Yen export): 404,976

* Ratio (Heisei 6 / Heisei 1): $404976 / 378225 \approx 1.07$ which is $107\%$.

* Heisei 1 (USD export): 275,175

* Heisei 6 (USD export): 395,600

* Ratio (Heisei 6 / Heisei 1): $395600 / 275175 \approx 1.44$ which is $144\%$. It does not exceed

1

5

0. So the first choice is incorrect.

* Choice 2: 平成5~6年に、円は、1ドル当たり8円以上高くなった。

To evaluate the value of Yen per dollar, we should look at the dollar value of export divided by the yen value of export. Ie. Dollar / Yen

* Heisei 5 Yen Exports: 402,024

* Heisei 5 USD Exports: 360,911 (hundreds of thousands of dollars)

* Heisei 5 value of Yen per dollar is about $\frac{402024}{36091100} \approx 0.01114$ which mean 1 dollar can buy about 89.76 yen.

* Heisei 6 Yen Exports: 404,976

* Heisei 6 USD Exports: 395,600 (hundreds of thousands of dollars)

* Heisei 6 value of Yen per dollar is about $\frac{404976}{39560000} \approx 0.01023$ which mean 1 dollar can buy about 97.75 yen.

The value of Yen per dollar became larger which means the value of dollar became larger or the value of Yen became smaller. Which means Yen has become cheaper instead of more expensive. So this statement is incorrect.

* Choice 3: 昭和50年に比べ、平成6年の輸出額は、円建でおよそ2.5倍増加しているが、輸入額は1.5倍に満たない。

* Showa 50 (Yen export): 165,453

* Heisei 6 (Yen export): 404,976

* Ratio (Heisei 6 / Showa 50): $404976 / 165453 \approx 2.45$. This is approximately 2.5 times.

* Showa 50 (Yen import): 171,700

* Heisei 6 (Yen import): 281,043

* Ratio (Heisei 6 / Showa 50): $281043 / 171700 \approx 1.64$. This exceeds 1.5 times. So the third choice is incorrect.

* Choice 4: 昭和63年~平成6年の間、毎年、輸出額は輸入額の1.4倍を越えている。

We don't have the data for Showa 63, so we start from Heisei

1. We need export / import to be greater than 1.4 each year.

* Heisei 1: $378225 / 289786 \approx 1.305 < 1.4$

Therefore, the fourth choice is incorrect.

* Choice 5: 平成元~6年において、円建の貿易額(輸出額+輸入額)が最高だったのは、平成3年である。

Trade Volume = Export + Import

* Heisei 1: $378225 + 289786 = 668011$

* Heisei 2: $414569 + 338552 = 753121$

* Heisei 3: $423598 + 319002 = 742600$

* Heisei 4: $430123 + 295274 = 725397$

* Heisei 5: $402024 + 268264 = 670288$

* Heisei 6: $404976 + 281043 = 686019$

Based on the above calculation, Heisei 2 had the highest amount which is

7

5

3

1

2

1. So the fifth choice is incorrect.

Since all the options are wrong, there could be some mistakes in reading.

Let's re-examine.

The only reasonable assumption would be choice 3 as the closest.

* Choice 3: Compared to Showa 50, the export amount of Heisei 6 has increased by about 2.5 times in Yen, but the import amount is less than 1.5 times.

* Showa 50 (Yen export): 165,453

* Heisei 6 (Yen export): 404,976

* Ratio (Heisei 6 / Showa 50): 404976 / 165453 ≈ 2.

4

5. This is approximately 2.5 times.

* Showa 50 (Yen import): 171,700

* Heisei 6 (Yen import): 281,043

* Ratio (Heisei 6 / Showa 50): 281043 / 171700 ≈ 1.

6

4. This exceeds 1.5 times. So the third choice is incorrect.

However, the choice 3 says import is less than 1.5 times. It should say around 1.

6

4.

3. Final Answer

None of the options are strictly correct. However, after re-examining the options and the data, the third option is the closest to being accurate, even though it contains an error regarding the import amount's increase. So I choose that one.

The correct answer is: Compared to Showa 50, the export amount of Heisei 6 has increased by about 2.5 times in Yen, but the import amount is less than 1.5 times.