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) ?. A) f (n) = 12 (1.5) n. B) f (n) = 12 (1.5) n-1. C) f (n) = 8 (1.5) n. D) f (n) = 8 (1.5) n-1

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Mathematics

Ashtyn Pace

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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) ?. A) f (n) = 12 (1.5) n. B) f (n) = 12 (1.5) n-1. C) f (n) = 8 (1.5) n. D) f (n) = 8 (1.5) n-1

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Jenkins · Answer 1

We are given with the data on teh number of squirrels seen in each week. In this case, the number of squirrels seen increases as week goes. This is a geometric series with a ratio of 1.5 and a1 equal to 8. The equation should be 8 (1.5) ^ (n-1) where n is the number of weeks. The answer is option D.