Question

use an annual growth rate of 1.5% 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 3.0 billion.

what is the approximate doubling time?
47 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

$$ T_{\text{double}} \approx \frac{70}{r} = \frac{70}{1.5} \approx 46.67 \text{ years} \approx 47 \text{ years} $$

Determine the number of years to the target date

Using the Exponential Growth knowledge point

$$ t = 2050 - 2000 = 50 \text{ years} $$

Predict the population in 2050

Using the Exponential Growth knowledge point

$$
LATEXBLOCK0
$$

Answer:

Question 1

What is the approximate doubling time?
<blank>47</blank> years

Question 2

What will be the approximate population in 2050?
<blank>6.3</blank> billion