Have you or a friend ever run in a 10 K(10,000 meter ) race? When the author polled his precalc

step 1 This problem wants me to first convert a table of numbers into seconds. So we have a table of mi

Have you or a friend ever run in a 10 K(10,000 meter )...

Have you or a friend ever run in a $10 \mathrm{K}(10,000 \text { meter })$ race? When the author polled his precalculus class at UCLA in Fall $1997,$ he found that there were five students in the class (of 160 ) who said they had run a $10 \mathrm{K}$ in under 50 minutes. Of those five, two (one male, one female) said they had run a $10 \mathrm{K}$ in under 40 minutes. The world record for this event is well under 30 minutes. In this exercise you'll look at some of the world records in this event over the past decade. (a) The table that follows lists the world records in the (men's) 10,000 meter race as of the end of the years $1993,1995,$ and $1997 .$ After converting the times into seconds, plot the three points corresponding to these records in a coordinate system similar to the one shown. $$\begin{array}{lll}\text { Year } & \text { Time } & \text { Runner } \\\hline 1993 & 26: 58.38 & \text { Yobes Ondieki (Kenya) } \\1995 & 26: 43.53 & \text { Haile Gebrselassie (Kenya) } \\1997 & 26: 27.85 & \text { Paul Tergat (Kenya) } \\\hline\end{array}$$ (GRAPH CAN'T COPY) (b) Use the midpoint formula and the data for 1993 and 1995 to compute an estimate for what the world record might have been by the end of $1994 .$ Then compute the percentage error (rounded to two decimal places), given that the record at the end of 1994 was 26: 52.23 (set by William Seigei of Kenya). Was your estimate too high or too low? (c) Use the midpoint formula and the data for 1995 and 1997 to compute an estimate for what the world record might have been by the end of $1996 .$ Then compute the percentage error given that the record at the end of 1996 was 26: 38.08 (set by Salah Hissou of Morocco). Was your estimate too high or too low? Is the percentage error more or less than that obtained in part (b)? (d) Using a coordinate system similar to the one shown in part (a), or using a photocopy, plot the points corresponding to the (actual, not estimated) world records for the years $1993,1994,1995,1996,1997,$ and 1998 Except for $1998,$ all the records have been given above. The world record at the end of 1998 was 26: 22.75 (set by Haile Gebrselassie of Kenya). Use the picture you obtain to say whether or not the record times seem to be leveling off.

Have you or a friend ever run in a $10 \mathrm{K}(10,000 \text { meter })$ race? When the author polled his precalculus class at UCLA in Fall $1997,$ he found that there were five students in the class (of 160 ) who said they had run a $10 \mathrm{K}$ in under 50 minutes. Of those five, two (one male, one female) said they had run
a $10 \mathrm{K}$ in under 40 minutes. The world record for this event is well under 30 minutes. In this exercise you'll look at some of the world records in this event over the past decade.
(a) The table that follows lists the world records in the (men's) 10,000 meter race as of the end of the years $1993,1995,$ and $1997 .$ After converting the times into seconds, plot the three points corresponding to these records in a coordinate system similar to the one shown.
$$\begin{array}{lll}\text { Year } & \text { Time } & \text { Runner } \\\hline 1993 & 26: 58.38 & \text { Yobes Ondieki (Kenya) } \\1995 & 26: 43.53 & \text { Haile Gebrselassie (Kenya) } \\1997 & 26: 27.85 & \text { Paul Tergat (Kenya) } \\\hline\end{array}$$
(GRAPH CAN'T COPY)
(b) Use the midpoint formula and the data for 1993 and 1995 to compute an estimate for what the world record might have been by the end of $1994 .$ Then compute the percentage error (rounded to two decimal places), given that the record at the end of 1994 was 26: 52.23 (set by William Seigei of Kenya). Was your estimate too high or too low?
(c) Use the midpoint formula and the data for 1995 and 1997 to compute an estimate for what the world record might have been by the end of $1996 .$ Then compute the percentage error given that the record at the end of 1996 was 26: 38.08 (set by Salah Hissou of Morocco). Was your estimate too high or too low? Is the percentage error more or less than that obtained in part (b)?
(d) Using a coordinate system similar to the one shown in part (a), or using a photocopy, plot the points corresponding to the (actual, not estimated) world records for the years $1993,1994,1995,1996,1997,$ and 1998 Except for $1998,$ all the records have been given above. The world record at the end of 1998 was 26: 22.75 (set by Haile Gebrselassie of Kenya). Use the picture you obtain to say whether or not the record times seem to be leveling off.

Thanks for your feedback!

Play audio

Feedback

Please give Ace some feedback