A model for the men’s 100-meter freestyle record times in seconds is given by y=(38,504.4888 + 44.37530536x^2)/(1+x+x^2) where x = 0 represents 1900. The model and the data points are shown in the graph below. Use this model to predict a reasonable record for a man to swim 100 meters in the year 2000. Explain how you determined your answer.

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A model for the men’s 100-meter freestyle record times in seconds is given by

y=(38,504.4888 + 44.37530536x^2)/(1+x+x^2)

where x = 0 represents 1900. The model and the data points are shown in the graph below. Use this model to predict a reasonable record for a man to swim 100 meters in the year 2000. Explain how you determined your answer.

Men's 100-Meter Freestyle
60
55
45
40
50
60
70
80
90
100
Year (0
1900)
Time (in seconds)
dee
Transcribed Image Text:Men's 100-Meter Freestyle 60 55 45 40 50 60 70 80 90 100 Year (0 1900) Time (in seconds) dee
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