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Language A: 24,000,000
Difference between Language A and Language B: 16,000,000
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
84% (01:55) correct
16%
(02:15)
wrong
based on 822
sessions
History
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Time
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Not Attempted Yet
The number of people in the world who natively speak Language A is 330 million. The number of people in the world who natively speak Language B is 260 million. Language experts who chart the growth of both languages claim that in five years, the number of persons who natively speak Language A will be approximately 450 million, and the number of persons who natively speak Language B will be approximately 300 million.
In the table below, identify the average annual rate of growth of Language A native speakers, and then identify the difference between Language A’s and Language B’s average annual growth rates. Make only two selections, one in each column.
In the table below, identify the average annual rate of growth of Language A native speakers, and then identify the difference between Language A’s and Language B’s average annual growth rates. Make only two selections, one in each column.
| Language A | Difference between Language A and Language B | Average rate of growth (Native speaker per year) |
| 6,000,000 | ||
| 8,000,000 | ||
| 12,000,000 | ||
| 16,000,000 | ||
| 24,000,000 | ||
| 48,000,000 |
ShowHide Answer
Official Answer
Language A: 24,000,000
Difference between Language A and Language B: 16,000,000
01 Jan 2025, 07:00
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1. The average rate of growth for a certain language is equal to the difference of native speakers now and then, divided by the number of years.
2. Let's calculate the average rate of growth for languages A and B:
- Language A: \(\frac{# \ of \ native \ speakers \ now - # \ of \ native \ speakers \ then}{# \ of \ years} = \frac{450 \ million - 330 \ million}{5} =\) 24 million per year.
- Language B: \(\frac{# \ of \ native \ speakers \ now - # \ of \ native \ speakers \ then}{# \ of \ years} = \frac{300 \ million - 260 \ million}{5} =\) 8 million per year.
3. The difference between the two will be 24 million - 8 million = 16 million per year.
4. Our answer is: 24,000,000 and 16,000,000.
2. Let's calculate the average rate of growth for languages A and B:
- Language A: \(\frac{# \ of \ native \ speakers \ now - # \ of \ native \ speakers \ then}{# \ of \ years} = \frac{450 \ million - 330 \ million}{5} =\) 24 million per year.
- Language B: \(\frac{# \ of \ native \ speakers \ now - # \ of \ native \ speakers \ then}{# \ of \ years} = \frac{300 \ million - 260 \ million}{5} =\) 8 million per year.
3. The difference between the two will be 24 million - 8 million = 16 million per year.
4. Our answer is: 24,000,000 and 16,000,000.
General Discussion
11 Feb 2026, 01:47
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Let's organize the given data first:
Language A: 330 million now → 450 million in 5 years
Language B: 260 million now → 300 million in 5 years
Step 1: Find Language A's average annual growth rate
Total growth over 5 years = 450 - 330 = 120 million
Average annual growth = Total growth ÷ Number of years
Language A annual growth = 120 million ÷ 5 = 24 million per year
Step 2: Find Language B's average annual growth rate
Total growth over 5 years = 300 - 260 = 40 million
Language B annual growth = 40 million ÷ 5 = 8 million per year
Step 3: Find the difference between the two growth rates
Difference = 24 million - 8 million = 16 million per year
Answer: Language A = 24,000,000 | Difference = 16,000,000
Language A: 330 million now → 450 million in 5 years
Language B: 260 million now → 300 million in 5 years
Step 1: Find Language A's average annual growth rate
Total growth over 5 years = 450 - 330 = 120 million
Average annual growth = Total growth ÷ Number of years
Language A annual growth = 120 million ÷ 5 = 24 million per year
Step 2: Find Language B's average annual growth rate
Total growth over 5 years = 300 - 260 = 40 million
Language B annual growth = 40 million ÷ 5 = 8 million per year
Step 3: Find the difference between the two growth rates
Difference = 24 million - 8 million = 16 million per year
Answer: Language A = 24,000,000 | Difference = 16,000,000
