Bruce 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 54
2 27
3 13.5
4 6.75
which function best shows the relationship between n and f(n)?

f (n) = 54 (0.5)^(n-1)   is your answer !

step-by-step explanation:

to solve this problem, let us first remember that the formula for this rate is:

rate = f (n) = a (r)^(n-1)

where as,

a = the 1st term

r = fractional rate of evaporation

n = number of terms

now let us calculate for the fraction rate of evaporation, r.

since it is stated that the evaporation is happening at a fixed rate, therefore

we can use any two given f (n) values to find for r. in this case, let us use

when n=1 and 2.

r = 27 / 54

r = 0.5

the first term in the series is when n = 1 and that is:

a = 54

therefore substituting all known values to the equation:

f (n) = 54 (0.5)^(n-1)     - this will be your final answer !

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step-by-step explanation:

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