Question

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.


The function P = 10,550(1.1)x models the population x years after the year 2000.





For which year would this model most likely be sufficient to make a prediction of the population?


1950

2005

2025

2050

Answer 1

Generally, this model can work for all years after 2000: this is what the function altready specifies, that it has to be "after the year 2000". so all answers of 2005, 2025 and 2015 are all correct.

However, the model is most predictive in the few years after the year 2000- so the best answer is 2005- because population trends can change later.

Answer 2

The years that this model will most likely be sufficient to make a prediction of the population are 2005, 2025, and 2050.

How to illustrate the population?

From the information, the first column is labeled years after 2000 with the entries.

From the information given, it was stated that the function P = 10,550(1.1)x models the population x years after the year 2000.

This implies that the prediction will be for the years after 2000.

In conclusion, the years that this model will most likely be sufficient to make a prediction of the population are 2005, 2025, and 2050.

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