Answer:
k = 0.2
A = (M / P₀) − 1
Explanation:
dP/dt = kP
When t = 0, P = 1000 and dP/dt = 200.
200 = 1000k
P = M / (1 + Ae⁻ᵏᵗ)
When t = 0, P = P₀.
P₀ = M / (1 + A)
1 + A = M / P₀
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