To determine the 50-year interval during which the world's population increased the most, we can analyze the population data for each interval:
1. Population in the interval 1800-1850: [tex]\( 978,000,000 \)[/tex]
2. Population in the interval 1850-1900: [tex]\( 1,262,000,000 \)[/tex]
3. Population in the interval 1900-1950: [tex]\( 2,529,000,000 \)[/tex]
4. Population in the interval 1950-2000: [tex]\( 6,100,000,000 \)[/tex]
Next, we calculate the population increase for each interval:
1. For the interval 1850-1900:
[tex]\[ \text{Increase} = 1,262,000,000 - 978,000,000 = 284,000,000 \][/tex]
2. For the interval 1900-1950:
[tex]\[ \text{Increase} = 2,529,000,000 - 1,262,000,000 = 1,267,000,000 \][/tex]
3. For the interval 1950-2000:
[tex]\[ \text{Increase} = 6,100,000,000 - 2,529,000,000 = 3,571,000,000 \][/tex]
Now, we compare these increases to determine the largest one:
- Increase from 1850-1900: [tex]\( 284,000,000 \)[/tex]
- Increase from 1900-1950: [tex]\( 1,267,000,000 \)[/tex]
- Increase from 1950-2000: [tex]\( 3,571,000,000 \)[/tex]
From our calculations, the interval with the greatest population increase is [tex]\(1950-2000\)[/tex] with an increase of [tex]\(3,571,000,000\)[/tex].
Therefore, during the interval [tex]\(1950-2000\)[/tex] the world's population increased the most.
Thus, the correct answer is:
D. [tex]\(1950-2000\)[/tex]
