Question

39
The Dominican Republic has 10.7 million people and a national population growth rate of 1.5 percent. Paraguay
has 6.8 million people and a national population growth rate of 1.5 percent. In how many years will each
country double in size?
47 years
37 years
27 years
57 years

Answer 1

Answer:

The correct answer is - 47 years.

Explanation:

The doubling time of the population growth depends on the rate of population growth. The formula for the calculation of the doubling time is :

time (t) = log(N/N0)/r (time)

here,

N0 (initial population) = The population at time t = 0.

N (future population) = The population at time t.

r (rate) = The rate of population change as a function of t

by the formula

t = log (2/1)/0.015

t =  46.666 years or 47 years approx.

Answer 2

The population of each country will become double in 47 years. hence option (A) is correct.

Given data:

The population of Dominican republic is, n = 10.7 million.

The growth rate of Dominican republic is, p = 1.5 %.

The population of Paraguay is, n' = 6.0 million.

The growth rate of Paraguay is, p' = 1.5 %.

The doubling time of the population growth depends on the rate of population growth. The formula for the calculation of the doubling time is given as,

$t = \dfrac{ln\dfrac{n}{n_{0}}}{p}$

Here,

$n$ is the final population and  $n_{0}$ is the initial population and for doubling the value in future, $n = 2 \times n_{0}$.

Solving as,

$t = \dfrac{ln\dfrac{2\times n_{0}}{n_{0}}}{1.5/100}\\\\t \approx 47 \;\rm years$

Thus, we can conclude the population of each country will become double in 47 years.

Learn more about the population model here:

https://brainly.com/question/24172878