### Home > INT3 > Chapter 11 > Lesson 11.2.3 > Problem11-88

11-88.
1.  Olympics Time (sec) Olympics Time (sec) 1896 54.2 1960 44.9 1900 49.4 1964 45.1 1904 49.2 1968 43.8 1906 53.2 1972 44.66 1908 50 1976 44.26 1912 48.2 1980 44.6 1920 49.6 1984 44.27 1924 47.6 1988 43.87 1928 47.8 1992 43.5 1932 46.2 1996 43.49 1936 46.5 2000 43.84 1948 46.2 2004 44 1952 45.9 2008 43.75 1956 46.7 2012 43.94

Pierre competes in the 400-meter dash for his high school track team. He hopes to compete in the Olympics some day, so he studies data from the Olympic results. A table of the times for the Gold Medal winners is shown at right. Homework Help ✎

1. In the first Olympics in 1896, the winning time was 54.2 seconds. What was the average speed of the winning runner?

2. If Pierre wants to set an Olympic record, what time does he need to beat? What speed does that correspond to?

3. Pierre wants to make a graph of the times and speeds as inspiration for his training. What function can he use to model the speed as a function of the time?

$\text{speed }=\frac{\text{distance}}{\text{time}}$

9.2 m/s

$f(t)=\frac{400}{t}$