when comparing 1900 and 2020, which age group has proportionally seen the biggest growth?

under 18
18-44
45-64
65+

Question

when comparing 1900 and 2020, which age group has proportionally seen the biggest growth?

under 18
18-44
45-64
65+

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Demographic Shifts" ], "new_concepts": [ "Proportional Growth Analysis" ], "current_concepts": [ "Demographic Shifts", "Proportional Growth Analysis" ] } ## Calculate proportional change for each age group $$ \begin{aligned} &\text{Under 18: } \frac{22\%}{41\%} \approx 0.537 \quad (-46.3\%) \ &\text{18--44: } \frac{30\%}{42\%} \approx 0.714 \quad (-28.6\%) \ &\text{45--64: } \frac{25\%}{14\%} \approx 1.786 \quad (+78.6\%) \ &\text{65+: } \frac{17\%}{4\%} = 4.25 \quad (+325.0\%) \end{aligned} $$ ## Compare proportional growth rates $$ 4.25 > 1.786 > 0.714 > 0.537 $$

Under 18

18-44

45-64

65+

{ "subject": "Social Science", "question_type": "Multiple Choice", "knowledge_point": [ "Social Science", "Demographic Shifts", "Proportional Growth Analysis" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Calculate proportional change for each age group

Compare proportional growth rates

Answer: