The table shows the population of a small town over time. The function P = 10,550(1.1)x models the population x years after the year 2000.

A 2-column table with 5 rows. The first column is labeled years after 2000, x with entries 0, 3, 4, 7, 10. The second column is labeled population, P with entries 10,5000; 14,000; 15,500; 20,500; 27,000.
For which year would this model most likely be sufficient to make a prediction of the population?

1950
2005
2025
2050

1 answer

2025

In this year, the model would have the most recent data to make a prediction for, as it only goes up to 10 years after the year 2000. Making a prediction for a year beyond 2025 would not be as reliable as the data would be extrapolated beyond the range of the model.