## Jill has been watching the squirrels that live in her neighborhood. The number of squirrels changes each week. n f(n)

Question

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

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2 weeks 2021-09-10T08:37:23+00:00 2 Answers 0

Step-by-step explanation:

2. 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.