ALGEBRA 2, 2012
41

 PAGE: 140 SET: Exercises PROBLEM: 41

Observe the table,

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

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

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

Assume that both times continue along the same trend.

Consider the coordinate points are men using and :

Hence, the equation is .

Consider the coordinate points are women using and :

Hence, the equation is .

The system of equations are and .

b. Estimate when the womens performance will catch up to the mens performance.

Graph:

Graph the equations and .

Observe the table,

The womens performance will catch up to the mens performance years after .

The next Olympic year would be .

Write prediction is not reasonable or not.

Prediction is not reasonable.

It is unlikely that womens times will ever catch up to mens times because the times cannot continue to increase and decrease infinitely.

a.

The system of equations are and .

b. Graph of the equations and is

The next Olympic year would be .

Prediction is not reasonable.

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