The first year Looney Town was established there were 25 residents, the second year the
population grew to 75 residence, the third year there were 225 residence. How many
residence will Looney Town have by year ten?
We can observe that the population of Looney Town is growing exponentially.
In the first year, the population was 25.
In the second year, the population was 75, which is 3 times the population of the previous year.
In the third year, the population was 225, which is again 3 times the population of the previous year.
So it can be inferred that the population is being multiplied by 3 every year.
To find out the population in year ten, we need to multiply 25 (the starting population) by 3 raised to the power of 9 (since 10 - 1 = 9).
Population in year ten = 25 * (3^9) = 25 * 19683 = 492,075.
Therefore, Looney Town will have a population of 492,075 residents in year ten.