$\"\"$

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Observe the table,

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The winning times in seconds for the $\"\"$ dash at the Olympics between $\"\"$ and $\"\"$ .

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a. Find the speed at which Allison is rowing and the speed of the current.

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Write equations that represent the winning times for men and women since $\"\"$ .

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Assume that both times continue along the same trend.

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Consider the coordinate points are men using $\"\"$ and $\"\"$ :

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Hence, the equation is $\"\"$ .

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Consider the coordinate points are women using $\"\"$ and $\"\"$ :

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Hence, the equation is $\"\"$ .

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The system of equations are $\"\"$ and $\"\"$ .

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$\"\"$

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b. Estimate when the women $\"\"$ s performance will catch up to the men $\"\"$ s performance.

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Graph:

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Graph the equations $\"\"$ and $\"\"$ .

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$\"\"$

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Observe the table,

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The women $\"\"$ s performance will catch up to the men $\"\"$ s performance $\"\"$ years after $\"\"$ .

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The next Olympic year would be $\"\"$ .

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Write prediction is not reasonable or not.

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Prediction is not reasonable.

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It is unlikely that women $\"\"$ s times will ever catch up to men $\"\"$ s times because the times cannot continue to increase and decrease infinitely.

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$\"\"$

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a.

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The system of equations are $\"\"$ and $\"\"$ .

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b. Graph of the equations $\"\"$ and $\"\"$ is

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$\"\"$

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The next Olympic year would be $\"\"$ .

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Prediction is not reasonable.