# Describe the relationship between speed, distance, time of travel and interpolate time to travel 8m for SLOW walk and extrapolate for 25m FAST walk.I had to see how long it took me to walk 15...

Describe the relationship between speed, distance, time of travel and interpolate time to travel 8m for SLOW walk and extrapolate for 25m FAST walk.

I had to see how long it took me to walk 15 meters slow 3 times, normal 3 times, and fast 3 times. All 9 data points are on "9" graphs. I don't know how to interpolate how long it took to travel 8 meters during my SLOW walk, with slow walk times of 13.60, 13.06, and 13.27. And i don't know how to extrapolate how long it would take to walk 25 meters during your FAST walk, with walking times of8.61, 7.89, and 8.16.

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### 1 Answer

First you must graph your data correctly. Make a graph with Time along the X-axis and Distance along the Y-axis. Your three points for the Slow Walk should be (13.60s, 15m) (26.66s, 30m) (39.93, 45m). Put your three data points on the graph for you Slow walk. Draw a STRAIGHT line that comes as close to all three points as possible (do not play "connect the dots"--one line that is the best you can do). Make sure you extend your line well past your three data points in both directions. To "interpolate" for 8.0 meters, go up the Y-axis to where 8.0 meters is, go over to the line you drew, then go straight down to the X-axis. The value of the X-axis at this point is the time you are predicting it would have taken you to go 8.0 meters.

Do a similar graph for your Fast Walk. Your three points should be (8.61s, 15m) (16.5s, 30m) and (24.66s, 45m). Plot these on the graph and connect them with a straight line. Extend the line diagonally up toward the right of the graph until you go past 25 meters. To extrapolate, go up the Y-axis to where 25 m should be. Go straight across to the line you drew for the Fast Walk, then go straight down to the X-axis. This value is your predicted time to walk 25 meters at a fast walk.

You need to do the Medium Walk as well. However, you did not supply the data. To do it you must figure out the accumulated time for each 15 meters you walk. (first time, first 15m) (first time + second time, first 15m + second 15m) and (first time + second time + third time, first 15 m+ second 15m + third 15m). Draw the best line. You should be done.