1. The problem asks to predict the amount after 50 days using the best fitting curve, which is given as Figure 3: $$y = 546(0.98)^x$$.
2. The formula for exponential decay is $$y = a b^x$$ where $$a$$ is the initial amount and $$b$$ is the decay factor (between 0 and 1).
3. To find the amount after 50 days, substitute $$x = 50$$ into the equation:
$$y = 546(0.98)^{50}$$
4. Calculate $$0.98^{50}$$:
$$0.98^{50} \approx 0.3641696801$$
5. Multiply by 546:
$$y \approx 546 \times 0.3641696801 = 198.27$$
6. Therefore, the predicted amount after 50 days is approximately **198.27 milligrams**.
Exponential Decay 6F8Df6
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