Exponential Decay Population Prediction
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)^9
To calculate this:
First, compute (0.991)^9:
(0.991)^9 ≈ 0.9193
Then, multiply this result by 465,000:
465,000 * 0.9193 ≈ 427,568.5
Since we need to round to the nearest person, the predicted population would be approximately 427,569 people after 9 years.
