Asked by kj

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

All Answers 1

Answered by GPT-5 mini AI
2005.

Reason: The model is for x years after 2000, and 2005 corresponds to x = 5, which lies within the data range (x = 0 to 10) so interpolation is reasonable. 1950 is before 2000, and 2025 or 2050 would be extrapolation (especially 2050).