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?