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The graph of 
y=500(0.6)^(x) is shown. Which of the following statements about the graph is true?
Choose 1 answer:
A As 
x increases, 
y increases at an increasing rate.
B As 
x increases, 
y increases at a decreasing rate.
(C) As 
x increases, 
y decreases at an increasing rate.
(D) As 
x increases, 
y decreases at a decreasing rate.

The graph of \newliney=500(0.6)xy=500(0.6)^{x} is shown. Which of the following statements about the graph is true?\newlineChoose 11 answer:\newlineA As xx increases, yy increases at an increasing rate.\newlineB As xx increases, yy increases at a decreasing rate.\newline(C) As xx increases, yy decreases at an increasing rate.\newline(D) As xx increases, yy decreases at a decreasing rate.

Full solution

Q. The graph of \newliney=500(0.6)xy=500(0.6)^{x} is shown. Which of the following statements about the graph is true?\newlineChoose 11 answer:\newlineA As xx increases, yy increases at an increasing rate.\newlineB As xx increases, yy increases at a decreasing rate.\newline(C) As xx increases, yy decreases at an increasing rate.\newline(D) As xx increases, yy decreases at a decreasing rate.
  1. Analyze Function Behavior: Analyze the function y=500(0.6)xy = 500(0.6)^x to understand how yy changes as xx increases.
  2. Recognize Exponential Decay: Recognize the nature of exponential decay: as xx increases, the value of (0.6)x(0.6)^x decreases.
  3. Determine Rate of Change: Determine the rate of change of yy as xx increases.
  4. Match Behavior with Options: Match the behavior of yy with the given options.

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