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| 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 women
s performance will catch up to the men
s 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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