the winning times for a 500-meter speed skating event have generally decreased since 1972. the winning times( in secounds) W(t) and M(t) for women and men, respectively, are modeled by the system w=W(t)=-0.172t+43.44 w=M(t)=0.149t+39.81 where t is the number of years since 1970. use this information to complete part a though d. Olympic 500-Meter Speed-Skating Times Year Winning Time of women (sec) Winning Time of Men (sec.) 1973 43.48 39.62 1977 42.24 38.77 1980 41.72 38.22 1987 40.52 37.28 1993 39.48 36.38 1997 38.80 35.79 2001 38.11 35.19 2006 38.02 34.79 a. use the equation of the models to estimate the winning time for women and the winning time for men in 2006 compare the slope of the two models. what does your comparison tell you about this situation? c. explain why your work in part (a) and (b) suggest that there may be a time when women's winning time will be equal to the men's winning time. d. use intersect on a graphing calculator with the appropiate windows to predict when the women 's winning time will be equal to the men's winning time. what will be that winning time?
the winning times for a 500-meter speed skating event have generally decreased since 1972. the winning times( in secounds) W(t) and M(t) for women and men, respectively, are modeled by the system
w=W(t)=-0.172t+43.44
w=M(t)=0.149t+39.81
where t is the number of years since 1970. use this information to complete part a though d.
Olympic 500-Meter Speed-Skating Times
Year Winning Time of women (sec) Winning Time of Men (sec.)
1973 43.48 39.62
1977 42.24 38.77
1980 41.72 38.22
1987 40.52 37.28
1993 39.48 36.38
1997 38.80 35.79
2001 38.11 35.19
2006 38.02 34.79
a. use the equation of the models to estimate the winning time for women and the winning time for men in 2006
compare the slope of the two models. what does your comparison tell you about this situation?
c. explain why your work in part (a) and (b) suggest that there may be a time when women's winning time will be equal to the men's winning time.
d. use intersect on a graphing calculator with the appropiate windows to predict when the women 's winning time will be equal to the men's winning time. what will be that winning time?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
