use an annual growth rate of 0.6% in a 20 year period for a certain population to find the approximate doubling time and then predict the population in 2050, based on a 2000 population of 4.0 billion.

what is the approximate doubling time?
years
(round to the nearest whole number as needed.)

Question

use an annual growth rate of 0.6% in a 20 year period for a certain population to find the approximate doubling time and then predict the population in 2050, based on a 2000 population of 4.0 billion.

what is the approximate doubling time?
  years
(round to the nearest whole number as needed.)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Doubling Time", "Rule of 70" ], "new_concepts": [], "current_concepts": [ "Doubling Time", "Rule of 70", "Exponential Growth" ] } ## Identify the growth rate and formula $$ \begin{aligned} &r = 0.6\%\ &T_{\text{double}} \approx \frac{70}{r} \end{aligned} $$ ## Calculate the approximate doubling time $$ \begin{aligned} &T_{\text{double}} \approx \frac{70}{0.6} \approx 116.67 \end{aligned} $$ ## Round to the nearest whole number $$ \begin{aligned} &T_{\text{double}} \approx 117\text{ years} \end{aligned} $$ What is the approximate doubling time? 117 years (Round to the nearest whole number as needed.) { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Doubling Time" ] }

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Question

Explanation:

Identify the growth rate and formula

Calculate the approximate doubling time

Round to the nearest whole number

Answer: