The number of trees in a park grows exponentially by , where is the number of trees after years. The number of trees after 1 year is ________.
Answer & Analysis
Analysis
Question Analysis
This question involves a basic exponential growth model with a growth factor of 1.2. The main focus is on finding the quantity (tree count) after 1 year, which simplifies the exponential calculation.
Key Concept Explanation
The exponential growth model here is , where:
(initial number of trees at )
(growth factor; the tree count increases by 20% each year)
year (since any number to the power of 1 is itself, )
Step-by-Step Solution
1. Identify known values: , ,
2. Substitute into the model:
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