Jill has been watching the squirrels that live in her neighborhood. The number of squirrels changes each week.

n f(n)
1 8
2 12
3 18
4 27

Which function best shows the relationship between n and f(n)?
f(n) = 12(1.5)n
f(n) = 12(1.5)n−1
f(n) = 8(1.5)n
f(n) = 8(1.5)n−1

Option D: is the function that represents the relationship between n and f(n)

Explanation:

Let n represents the weeks

Let f(n) represents the number of squirrels.

We need to determine the function that represents the relationship between n and f(n)

The given sequence is a geometric sequence.

First, we shall determine the common difference.

Thus, the common difference are equal.

The equation of the function can be determined using the formula,

where a is the first term and r is the common difference.

Substituting the values, we have,

Hence, the function is given by

Thus, the function that represents the relationship between n and f(n) is

Therefore, Option D is the correct answer.

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: