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7 November, 13:47

Midge added some chlorine to the water in a pool. The chlorine evaporated at a fixed rate every week. The table below shows the amount of chlorine f (n), in ounces, that was left in the pool after n weeks:

n f (n)

1 16

2 8

3 4

4 2

Which function best shows the relationship between n and f (n) ?

f (n) = 16 (0.5) n - 1

f (n) = 32 (0.5) n - 1

f (n) = 16 (0.5) n

f (n) = 32 (0.5) n + 1

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Answers (1)
  1. 7 November, 17:25
    0
    f (n) = 16 (0.5) ⁿ⁻¹

    Step-by-step explanation:

    Find f (1) for each option.

    a) f (1) = 16 (0.5) ¹⁻¹ = 16

    b) f (1) = 32 (0.5) ¹⁻¹ = 32

    c) f (1) = 16 (0.5) ¹ = 8

    d) f (1) = 32 (0.5) ¹⁺¹ = 8

    Only the first option matches the table.
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