A phone’s value decays exponentially by , where is the value (in dollars) after years. The value of the phone after 2 years is ________ dollars.
Answer & Analysis
Analysis
Question Analysis
This question involves a basic exponential decay model with base 0.5. The main focus is on finding the decayed value of an item at a given time by substituting into the model.
Key Concept Explanation
The exponential decay model here is , where:
(initial value of the phone at )
(decay factor; the phone’s value halves every year)
= time in years
Substitute into the formula to find the current value.
Step-by-Step Solution
Identify known values: , ,
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