The problem asks us to find the approximate decrease in annual product sales per business establishment in G prefecture from 2005 to 2017. The provided graph shows the trend of the number of business establishments and the annual product sales (in tens of billions of yen). We need to calculate the decrease in sales, the decrease in the number of establishments, and then divide the sales decrease by the establishment decrease to find the per-establishment sales decrease. The answer should be in units of hundreds of millions of yen.
2025/6/8
1. Problem Description
The problem asks us to find the approximate decrease in annual product sales per business establishment in G prefecture from 2005 to
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7. The provided graph shows the trend of the number of business establishments and the annual product sales (in tens of billions of yen). We need to calculate the decrease in sales, the decrease in the number of establishments, and then divide the sales decrease by the establishment decrease to find the per-establishment sales decrease. The answer should be in units of hundreds of millions of yen.
2. Solution Steps
First, find the annual product sales in 2005 and 2017 from the graph.
Annual product sales in 2005 = 9.697 (tens of billions of yen)
Annual product sales in 2017 = 7.134 (tens of billions of yen)
Calculate the decrease in annual product sales:
Decrease in sales = 9.697 - 7.134 = 2.563 (tens of billions of yen)
Next, find the number of business establishments in 2005 and 2017 from the graph.
Number of establishments in 2005 = 4.291
Number of establishments in 2017 = 3.161
Calculate the decrease in the number of establishments:
Decrease in establishments = 4.291 - 3.161 = 1.13
Now, divide the decrease in sales by the decrease in the number of establishments to find the per-establishment sales decrease. Remember that the sales are in tens of billions of yen.
Per-establishment sales decrease = 2.563 / 1.13 = 2.268 (tens of billions of yen per establishment)
Convert this to hundreds of millions of yen:
2. 268 (tens of billions of yen) = 2.268 * 10 = 22.68 (billions of yen)
3. 68 (billions of yen) = 22.68 * 10 = 226.8 (hundreds of millions of yen)
The closest option to 2.268 tens of billions of yen is 2.3 tens of billions of yen. To convert 2.3 tens of billions of yen to hundred millions of yen: 2.3 * 10 = 23 billion. 23 * 10 = 230 hundred millions.
Divide the original answer by 10 to get hundred millions.
4. 268/10 = 0.2268 * 100 billions = 2.268 billions = 22.68 hundred million. Thus, divide by 10 again, approximately 2.3 hundred millions.
Converting the answer choices:
2.1 ten billion yen / establishment = 210 million yen / establishment = 2.1 hundred million yen /establishment
2.3 ten billion yen / establishment = 230 million yen / establishment = 2.3 hundred million yen /establishment
2.5 ten billion yen / establishment = 250 million yen / establishment = 2.5 hundred million yen /establishment
2.7 ten billion yen / establishment = 270 million yen / establishment = 2.7 hundred million yen /establishment
2.9 ten billion yen / establishment = 290 million yen / establishment = 2.9 hundred million yen /establishment
2. 563 / 1.13 = 2.268 ten billions of yen is equivalent to approximately 2.3 ten billion yen.
3. Final Answer
2.3億円