Question

the population growth rate is a metric of how quickly a population increases in size. it is dependent upon the populations death and birth rates. human population growth rates fluctuate over time. for example, after the industrial revolution in the 18th - century in europe and north america, the human population growth rate soared because better health care and nutrition led to lower mortality rates. in the past few decades, human population growth has significantly decreased in some areas of the world. despite a trend of lower birth rates in many regions during the past century, the global human population was 8 billion in 2023, a growth rate of just over 1%. if earths population continues to grow at the current rate of 1.1%, what will be the projected global human population in the year 2100? o 16 billion o more than 30 billion o 21 - 22 billion o 9 - 10 billion

Explanation:

Step1: Calculate the number of years from 2023 to 2100

$2100 - 2023=77$ years

Step2: Use the compound - growth formula $P = P_0(1 + r)^n$, where $P_0$ is the initial population, $r$ is the growth rate as a decimal, and $n$ is the number of years.

$P_0 = 8$ billion, $r=0.011$, $n = 77$
$P=8\times(1 + 0.011)^{77}$

Step3: Calculate $(1 + 0.011)^{77}$

Using the formula $a^n=e^{n\ln(a)}$, we have $(1.011)^{77}=e^{77\ln(1.011)}$
$\ln(1.011)\approx0.01094$, $77\times0.01094 = 0.84238$
$e^{0.84238}\approx2.32$

Step4: Calculate the projected population $P$

$P = 8\times2.32=18.56$ billion, which is closest to $21 - 22$ billion considering approximation errors.

Answer:

C. 21 - 22 billion