Question

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 .

Answer 1

Option D

Explanation:

Given : Graph of the function-
`f(x) = 60((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((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((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((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((1)/(3))x`

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

Answer 2

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