1. The world population in 1992 is 5.42 billion. If its population doubled every
a. 41 years, what would its population be in 41 years?
b. 41 years, what would its population be in 82 years?
c. 82 years, what would its population be in 164 years?
a. 5.24 * 2 = ? billion
b. 5.24 * 4 = ?
c. 5.24 * 8 = ?
a. If the world population in 1992 was 5.42 billion and it doubled every 41 years, we can calculate the population in 41 years by multiplying it by 2.
Population in 41 years = 5.42 billion * 2 = 10.84 billion.
Therefore, the population would be 10.84 billion in 41 years.
b. To find the population in 82 years, we can follow the same approach as above.
Population in 82 years = 10.84 billion * 2 = 21.68 billion.
Therefore, the population would be 21.68 billion in 82 years.
c. Similarly, to find the population in 164 years, we can use the same doubling formula.
Population in 164 years = 21.68 billion * 2 = 43.36 billion.
Therefore, the population would be 43.36 billion in 164 years.
To calculate the population in each scenario, we'll need to use the concept of exponential growth. Exponential growth occurs when a quantity grows at a constant rate over a consistent time interval. In this case, the world population is doubling every 41 years.
To find the population in each scenario, we'll start with the given population in 1992 and apply the doubling rate for the specified time interval.
a. To find the population in 41 years:
Step 1: Start with the initial population in 1992, which is 5.42 billion.
Step 2: Double the population every 41 years.
Step 3: Divide the time interval (41 years) by the doubling time (41 years).
Step 4: Raise 2 (the doubling factor) to the power of the quotient from step 3.
Step 5: Multiply the result from step 4 by the initial population.
Using this method, the population in 41 years can be calculated as follows:
Population in 41 years = 5.42 billion * (2^(41/41))
Simplifying the expression, we get:
Population in 41 years = 5.42 billion * (2^1)
Population in 41 years = 5.42 billion * 2
Population in 41 years = 10.84 billion
b. To find the population in 82 years:
Step 1: Start with the initial population in 1992, which is 5.42 billion.
Step 2: Double the population every 41 years.
Step 3: Divide the time interval (82 years) by the doubling time (41 years).
Step 4: Raise 2 (the doubling factor) to the power of the quotient from step 3.
Step 5: Multiply the result from step 4 by the initial population.
Using this method, the population in 82 years can be calculated as follows:
Population in 82 years = 5.42 billion * (2^(82/41))
Simplifying the expression, we get:
Population in 82 years = 5.42 billion * (2^2)
Population in 82 years = 5.42 billion * 4
Population in 82 years = 21.68 billion
c. To find the population in 164 years:
Step 1: Start with the initial population in 1992, which is 5.42 billion.
Step 2: Double the population every 41 years.
Step 3: Divide the time interval (164 years) by the doubling time (41 years).
Step 4: Raise 2 (the doubling factor) to the power of the quotient from step 3.
Step 5: Multiply the result from step 4 by the initial population.
Using this method, the population in 164 years can be calculated as follows:
Population in 164 years = 5.42 billion * (2^(164/41))
Simplifying the expression, we get:
Population in 164 years = 5.42 billion * (2^4)
Population in 164 years = 5.42 billion * 16
Population in 164 years = 86.72 billion