Question

1. using the diagram and the letters b, d, e & i, write mathematical expressions to show the following: use the less than, greater than or equal to (<,>, or =)

example a. a stable population: (b+i)=(d+e)
b. a declining population:
c. a growing population:
d. population growth:

Explanation:

Step1: Analyze population change factors

Population change is determined by births (B), immigration (I), deaths (D), and emigration (E). For a stable population, \(B + I=D + E\) (as given in the example).

Step2: Determine declining population

A declining population means the number of people leaving (through death and emigration) is more than the number of people coming in (through birth and immigration). So, \(B + I

Step3: Determine growing population

A growing population means the number of people coming in (through birth and immigration) is more than the number of people leaving (through death and emigration). So, \(B + I>D + E\).

Step4: Determine population growth expression

Population growth is the difference between the sum of births and immigration and the sum of deaths and emigration. So, Population growth \(=(B + I)-(D + E)\).

Answer:

b. \(B + Ic. \(B + I>D + E\)
d. \((B + I)-(D + E)\)