Algebra-2

Question Analysis
This question involves an exponential decay model with a given decay rate (50% daily decay, written as 0.5). The main focus is on using the decay rate to find the decay factor, then calculating the remaining mass after 3 days (a small number of time units).

Key Concept Explanation
The exponential decay model here is , where:
(initial mass)
(daily decay rate; is the decay factor, meaning the mass halves daily)
days (we calculate how much mass remains after 3 half-lives)

Step-by-Step Solution
1. Simplify the decay factor: , so the model becomes
2. Calculate