The graph (in the link below) shows the relationship between distance and time for the Olympic-record 10,000-meter run set by Kenenisa Bekele in 2008.
www.webassign.net/aufinteralg8/3-4-028.gif
the two points are (0,0), and (27.02, 10000)
1) for the slope I got 370.1
2) Write a sentence that states the meaning of the slope.
The average a)______ of the runner was b)_______ c) ___________.
the options for a) are
-distance
-speed
-time
b) you have to enter an number
the options for c) are
-m
-m/min
-min
in your ordered pair (27.02 , 10000) the first number appears to be minutes, and the second number is metres
your slope calculation is correct
so your "slope" is really "change in metres/change in time"
which would be m/min
What do we normally call something like: m/sec, mph, km/h, ft/sec, etc ??
1) The slope of the graph is correctly calculated as 370.1.
2) The meaning of the slope is as follows:
The average a) speed b) 370.1 c) m/min of the runner.
To calculate the slope, you need to use the formula: slope = (change in distance) / (change in time).
1) To calculate the slope, you need to find the change in distance and the change in time between the two given points. In this case, the change in distance is 10000 (the difference in the y-values of the two points), and the change in time is 27.02 (the difference in the x-values of the two points). So, you would calculate the slope as follows:
slope = 10000 / 27.02 ≈ 370.1
2) The slope represents the speed of the runner. Therefore, the meaning of the slope is as follows:
The average speed of the runner was approximately 370.1 meters per minute.
For the options given:
a) The correct answer is "speed" because the slope represents the speed of the runner.
b) You need to enter a number based on the calculated slope, which is approximately 370.1.
c) The correct answer is "m/min" because the units for the slope are meters per minute.