A toy’s value decays exponentially by , where is the value (in dollars) after years. The value of the toy after 1 year is ________ dollars.
Answer & Analysis
Analysis
Question Analysis
This question involves a basic exponential decay model with base 0.25. The main focus is on finding the decayed value after 1 year, which simplifies the calculation since any number to the power of 1 is itself.
Key Concept Explanation
The exponential decay model here is , where:
(initial value of the toy at )
(decay factor; the toy’s value drops to 25% of its original value each year)
year (so )
Step-by-Step Solution
1. List known values: , ,
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.