If the town's population was 62,000 at the end of year 5, and the population grew at the same annual rate as the number of eating establishments between the end of year 1 and the end of year 5, what was the town's population at the end of year 1?

A) 49,809

B) 51,435

C) 53,230

D) 54,330

E) 56,730

plz explain why a is the answer with formula