The total world population in the year 1800 was 1 billion people. Today there are 7.8...

The total world population in the year 1800 was 1 billion people. Today there are 7.8 billion people in the world. Year Global Population (in billions)

2017 7.511

2018 7.594

2019 7.700

2020 7.800

(a) Using the table above

calculate the average population growth rate over the past 3 years. (b) Using the growth rate from part (a), calculate in what year the world population will reach 9 billion people (round down to the nearest year). (c) List 3 stresses this rapid growth in population may put on the environment.

Solutions

Expert Solution

Data given:

Population in 1800 = 1 billion
Population in 2017 = 7.511 billion
Population in 2018 = 7.594 billion
Population in 2019 = 7.700 billion
Population in 2020 = 7.800 billion

(a)

Average growth rate from 2017 to 2018 = (population in 2018 – population in 2017) ÷ population in 2017
- = (7.594 – 7.511)/7.511
- = 0.083/7.511
- = 0.0111
- = 0.01105 × 100 %
- = 1.105 %
Average growth rate from 2018 to 2019 = (population in 2019 – population in 2018) ÷ population in 2018
- = (7.7 – 7.594)/7.594
- = 0.106/7.594
- = 0.01396
- = 0.01396 × 100 %
- = 1.396 %
Average growth rate from 2019 to 2020 = (population in 2020 – population in 2019) ÷ population in 2019
- = (7.8 – 7.7)/7.7
- = 0.1/7.7
- 0.01299
- = 0.01299 × 100 %
- = 1.299 %
Average population growth rate over past three years = (1.105 + 1.396 + 1.299)/3
- = 3.8/3
- = 1.267 %

(b) the average growth rate = 1.267 %

Therefore, the year in which world population would reach 9 billion can be calculated by following equation,

9 billion = 7.8 billion (1 + growth rate/100)^{(number of
years)}n
9 = 7.8 (1 + 1.267/100)ⁿ
9/7.8 = (101.267/100)ⁿ
1.1538461538461 = (1.01267)ⁿ
n = log_(1.01267)^{(1.1538461538461)}
11.3658630779
≈ 12 years
Hence in (2020 + 12) = 2032, the world population would reach 9 billion.

Increase in demand of Agricultural products for food consumption.
Increase in exploitation of natural resources like minerals, fossil fuels, water etc.
Increase in dumping of wastes in Environment.

Rahul Sunny answered 1 year ago

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