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.
2 answers:
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).
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Equation [1] ⇒
Equation [2] ⇒
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