QQuestionMathematics
QuestionMathematics
Which graph represents exponential decay?
# 1.
## 1.1.1.1.
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Answer
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Step 1:: Identify the key features of exponential decay.
Exponential decay is a pattern of change in which the quantity decreases by the same proportion in each equal interval of time. This means that the rate of decrease is a constant fraction of the remaining quantity.
Step 2:: Examine the given graphs.
There are four graphs provided, and we need to identify which one represents exponential decay.
Step 3:: Look for a constant rate of change in each graph.
In Graph 1, the quantity decreases by approximately the same proportion in each interval, which is a characteristic of exponential decay.
Step 4:: Check for other possible patterns in Graph 1.
There is no clear linear or geometric pattern in Graph 1. The decrease in quantity is not consistent with linear decay (a constant decrease in quantity) or geometric decay (a constant percentage increase in quantity).
Step 5:: Confirm the selection.
Based on the key features of exponential decay and the absence of other patterns, Graph 1 best represents exponential decay.
Final Answer
Graph 1 represents exponential decay.
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