The population of trees in a forest has been decreased by 6% every year. The population at the beginning of 2015 was estimated to be 1400. If P represents the population of trees t years after 2015, which equation gives the population of trees over time?
- P = 1400(1.06)ᵗ
- P = 1400(0.94)ᵗ
- P = 1400 − 6t
- None of these
Explanation
Initial population in 2015 = 1400
Decrease rate = 6% per year → so each year 94% remains
For exponential decay:
P = Initial × (1 - rate)^t
Here rate = 6% = 0.06
So 1 - 0.06 = 0.94
Therefore, the exponential decay equation is P = 1400(0.94)ᵗ.
Last verified on 28-07-2026
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