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

Question

Mathematics

Clayton Marsh

14 May, 13:44

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

+3

Answers (1)

Know the Answer?

Patience Fuentes · Answer 1

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.