Algebra-2

Question Analysis
This question involves an exponential growth model with a decimal growth factor (2.5). The main focus is on solving for time by calculating the exponential term for small integer values of until the target bacteria count is achieved.

Key Concept Explanation
The exponential growth model here is , where:
(initial number of bacteria)
(growth factor; the bacteria multiply by 2.5 every hour)
= time in hours (we test small integers for to find when )

Step-by-Step Solution
1. Test : (less than 500, so continue)
2. Test :

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