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

Question

Mathematics

Danica Oliver

27 March, 12:27

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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Dominic Gaines · Answer 1

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