Which is the best description of the graph of the function f(x) = 60(One-third)x? The graph has an initial value of 20, and each successive term is determined by subtracting One-third. The graph has an initial value of 20, and each successive term is determined by multiplying by One-third. The graph has an initial value of 60, and each successive term is determined by subtracting One-third. The graph has an initial value of 60, and each successive term is determined by multiplying by One-third.

Question

22-07-2020
Mathematics

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Which is the best description of the graph of the function f(x) = 60(One-third)x? The graph has an initial value of 20, and each successive term is determined by subtracting One-third. The graph has an initial value of 20, and each successive term is determined by multiplying by One-third. The graph has an initial value of 60, and each successive term is determined by subtracting One-third. The graph has an initial value of 60, and each successive term is determined by multiplying by One-third.

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mathmate mathmate · Answer 1 · 2020-07-22T16:16:13+02:00

Answer:

The graph has an initial value of 60, and each successive term is determined by multiplying by One-third.

Step-by-step explanation:

Which is the best description of the graph of the function f(x) = 60(One-third)x?

A. The graph has an initial value of 20, and each successive term is determined by subtracting One-third.

B. The graph has an initial value of 20, and each successive term is determined by multiplying by One-third.

C. The graph has an initial value of 60, and each successive term is determined by subtracting One-third.

D. The graph has an initial value of 60, and each successive term is determined by multiplying by One-third.

Given:

f(x) = 60 (1/3)^x see graph attached.

Examining the graph, we notice that

1. The graph has an initial value of 60, at point (0,60)

2. The graph decreases as x increases. Each successive term is determined by multiplying by 1/3, namely in the sequence

{(0,60), (1,20), (2, 20/3), (3, 20/9), ...}

This means the choice is D (or the fourth one).

shristiparmar1221 shristiparmar1221 · Answer 2 · 2021-12-14T08:56:08+01:00

This question is based on the concept of graph.Therefore, the correct option is D,the graph has an initial value of 60, and each successive term is determined by multiplying by One-third.

Given:

[tex]\bold{f(x) = 60 (\dfrac{1}{3}) x}[/tex]

According to question,

Graph attachment is below.

From graph it is observed that,

Initial value of [tex]\bold{f(x) = 60 (\dfrac{1}{3}) x}[/tex] , at point (0,60).

The graph is decreasing as the value of x increasing. Each successive term is determined by multiplying 1/3, namely in the sequence {(0,60), (1,20), (2, 20/3), (3, 20/9), ...}

Therefore, the correct option is D,the graph has an initial value of 60, and each successive term is determined by multiplying by One-third.

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