### 7.2 Exponential Patterns

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• Math Help

In the solution to Example 3, note that the average of the ratios is about 1.50.

Assuming this ratio was true for 2011 and 2006 you can estimate the 2011 population by multiplying the 2006 population by 1.5.

So, you can estimate that the population increased to about 14,700 nesting pairs.

Note the rounding used in the calculations above. You can review rounding of numbers in a real-life context in Section 1.2.

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• Checkpoint Solution

If the population continued to increase by 50% every 5 years, there would be about (1.5)(1.5)(9789) ≈ 22,000 nesting pairs in 2016.

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