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5 May, 04:45

Which is the best description of the graph of the function f (x) = 60 (1/3) x? the graph has an initial value of 20, and each successive term is determined by subtracting 1/3. the graph has an initial value of 20, and each successive term is determined by multiplying by1/3. the graph has an initial value of 60, and each successive term is determined by subtracting 1/3. the graph has an initial value of 60, and each successive term is determined by multiplying by 1/3

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  1. 5 May, 07:35
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    F (x) = 60[1/3]^x

    initial value⇒ x=0, f (x) = 60*[1/3]^0 = 60*1 = 60

    x=1 ⇒f (1) = 60*[1/3]

    x=2 ⇒f (2) = 60*[1/3]^2 = f (1) * [1/3]

    x = n ⇒ f (n) = 60*[1/3]^n=60*[1/3]^ (n-1) * [1/3] = f (n-1) * [1/3]

    Then, the right choice is: the graph has an initial value of 60, and each successive term is determined by multiplying by 1/3
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