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Which is the best description of the graph of the function f(x) = 60(1/3)x?

A. The graph has an initial value of 20, and each successive term is determined by subtracting 1/3 .

B. The graph has an initial value of 20, and each successive term is determined by multiplying by 1/3 .

C. The graph has an initial value of 60, and each successive term is determined by subtracting 1/3 .

D. The graph has an initial value of 60, and each successive term is determined by multiplying by 1/3 .

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Hagrid
The correct answer to this question is: The best description of the graph of the function f(x) = 60(1/3)x  "D. The graph has an initial value of 60, and each successive term is determined by multiplying by 1/3." 

x = 1
f(X) = 20

x = 2
f(x) = 40

x = 3
f(x) = 60

Answer:

Option D                                    

Step-by-step explanation:

Given : Graph of the function- [tex]f(x) = 60(\frac{1}{3})x[/tex]

To find : Which describe the best expression  

A. The graph has an initial value of 20, and each successive term is determined by subtracting 1/3 .

This denote that   [tex]f(x) = 20(\frac{1}{3}-x)[/tex]

B. The graph has an initial value of 20, and each successive term is determined by multiplying by 1/3 .

This denote that    [tex]f(x) = 20(\frac{1}{3})x[/tex]

C. The graph has an initial value of 60, and each successive term is determined by subtracting 1/3 .

This denote that  [tex]f(x) = 60(\frac{1}{3}-x)[/tex]

D. The graph has an initial value of 60, and each successive term is determined by multiplying by 1/3 .

 This denote that   [tex]f(x) = 60(\frac{1}{3})x[/tex]

Therefore, Option D best describe the expression in a simple way.