In Exercises 13 and 14, you found equations for the women’s and men’s 400-meter run record times. Equations that model the data well are
r = -0.27t + 70.45………………….(women’s model)
r = -0.053t + 48.08……………………(men’s model)
where r represents the record time (in seconds) at t years since 1900.
a. Graph both models for the period 1900–2050 on the same coordinate system.
b. Do the models predict that the women’s record time will ever equal the men’s record time? If so, what is that record time, and when will the record be set? Do you have much faith in this prediction? Explain.
c. Do the models predict that the women’s record time will ever be less than the men’s record time? If so, in what years? Do you have much faith in this prediction? Explain.