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

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

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

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

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

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

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tardymanchester tardymanchester · Answer 2 · 2019-01-16T00:14:37-05:00

Answer:

Option D

Step-by-step explanation:

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

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 \(f(x) = 20(\frac{1}{3}-x)\)

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

This denote that \(f(x) = 20(\frac{1}{3})x\)

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

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

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

This denote that \(f(x) = 60(\frac{1}{3})x\)

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