In September, Lee ran in the Run Rabbit Run 50 mile race in Steamboat. The race is an out-and-back course that runs from Steamboat Ski Resort to Rabbit Ears and back to Steamboat Ski Resort. The table below provides the timed splits through the various aid stations along the course. (a) List two different functions that can be formed from the data in the table. Be sure to specify the dependent and independent variables. (b) Name one way in which the data in the table is not a function. Explain. (c) Construct a graph that depicts the relationship between time and the total distance traveled in the race. (d) Construct a graph that depicts the relationship between time and displacement from start/finish (relative distance to start/finish). (e) Compare Lee’s average running speed from Dumont to Rabbit Ears and his average running speed from Rabbit Ears to Dumont.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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In September, Lee ran in the Run Rabbit Run 50 mile race in Steamboat. The race is
an out-and-back course that runs from Steamboat Ski Resort to Rabbit Ears and back to
Steamboat Ski Resort. The table below provides the timed splits through the various aid
stations along the course.

(a) List two different functions that can be formed from the data in the table. Be sure to
specify the dependent and independent variables.
(b) Name one way in which the data in the table is not a function. Explain.
(c) Construct a graph that depicts the relationship between time and the total distance
traveled in the race.
(d) Construct a graph that depicts the relationship between time and displacement from
start/finish (relative distance to start/finish).
(e) Compare Lee’s average running speed from Dumont to Rabbit Ears and his average
running speed from Rabbit Ears to Dumont.

Time || Aid State (distance traveled from start)
0:00:00
Start (0 miles)
1:21:51
2:22:52
Mount Werner Aid Station (6.4 miles)
Long Lake Aid Station (13.2 miles)
3:34:36 Base Camp Trailhead Aid Station (18.4 miles)
4:05:34
Dumont Aid Station (22.3 miles)
Rabbit Ears (25 miles)
4:45:25
5:13:17
Dumont Aid Station (27.7 miles)
6:02:43 Base Camp Trailhead Aid Station (31.6 miles)
7:07:11
8:41:37
Long Lake Aid Station (36.8 miles)
Mount Werner Aid Station (43.6 miles)
Finish (50 miles)
9:29:13
Transcribed Image Text:Time || Aid State (distance traveled from start) 0:00:00 Start (0 miles) 1:21:51 2:22:52 Mount Werner Aid Station (6.4 miles) Long Lake Aid Station (13.2 miles) 3:34:36 Base Camp Trailhead Aid Station (18.4 miles) 4:05:34 Dumont Aid Station (22.3 miles) Rabbit Ears (25 miles) 4:45:25 5:13:17 Dumont Aid Station (27.7 miles) 6:02:43 Base Camp Trailhead Aid Station (31.6 miles) 7:07:11 8:41:37 Long Lake Aid Station (36.8 miles) Mount Werner Aid Station (43.6 miles) Finish (50 miles) 9:29:13
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I am a bit confused on b. What is one way in which data is a not a function was the question and I am confused to how it would be velocity

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