Question

use an annual growth rate of 1.2% 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 6.0 billion.

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

what will be the approximate population in 2050?
billion
(round to the nearest tenth as needed.)

Explanation:

Calculate the approximate doubling time

Using the Rule of 70 and Doubling Time knowledge points

$$ T_{\text{double}} \approx \frac{70}{r} = \frac{70}{1.2} \approx 58.33 \text{ years} $$

Rounding to the nearest whole number:

$$ T_{\text{double}} \approx 58 \text{ years} $$

Determine the growth formula parameters

Using the Exponential Growth knowledge point

$$
LATEXBLOCK0
$$

Calculate the population in 2050

Using the Exponential Growth and Doubling Time knowledge points

$$
LATEXBLOCK1
$$

Rounding to the nearest tenth:

$$ P(50) \approx 10.9 \text{ billion} $$

Answer:

Question 1

What is the approximate doubling time?
58 years

Question 2

What will be the approximate population in 2050?
10.9 billion