Final answer:
The correct equation that shows a 20% increase in population from year 1 to year 2 is Year 2 Population = Year 1 Population × 1.2.
Step-by-step explanation:
The correct equation that shows that the population in year 2 is a 20% increase of the population in year 1 is option (a) Year 2 Population = Year 1 Population × 1.2.
To understand this, let's consider an example: If the population in year 1 is 100, then the population in year 2 would be 100 × 1.2 = 120, which represents a 20% increase.
So, option (a) is the equation that correctly represents a 20% increase in population from year 1 to year 2.