Question - Exponential Decay Population Prediction
Solution:
The image depicts a mathematics problem involving an exponential decay model for a population. The model given is P(t) = 465,000(0.991)^t, where P(t) is the population at time t in years.The problem asks what this model predicts the population will be in 9 years.To solve for the population in 9 years, we substitute t with 9 in the model:P(9) = 465,000(0.991)^9To calculate this:First, compute (0.991)^9:(0.991)^9 ≈ 0.9193Then, multiply this result by 465,000:465,000 * 0.9193 ≈ 427,568.5Since we need to round to the nearest person, the predicted population would be approximately 427,569 people after 9 years.
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