The number of subscribers to a streaming service grows exponentially by , where is the number of subscribers after months. The number of subscribers after 2 months is ________.
Answer & Analysis
Analysis
Question Analysis
This question involves an exponential growth model with a growth factor of 1.15 (15% monthly growth). The main focus is on calculating the final quantity with a decimal growth factor and rounding to the nearest whole number—adding a small step beyond basic multiplication.
Key Concept Explanation
The exponential growth model here is , where:
(initial number of subscribers)
(growth factor; subscribers increase by 15% each month)
months (we calculate , multiply by , then round)
Step-by-Step Solution
1. Calculate the growth factor squared:
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