Pencil Graph
by John Golden
skips
questions

April 27, 2012
Shouldn't this be linear? What's the actual slope/index the independent axis?
Sequel

Is that accurately spaced? Have you accounted for broken tips? Why isn't it linear?

How long does he use the pencil per time? When will the pencil be down to a nub?






How much does a pencil shrink after one use? (write until dull & sharpen again)



How many uses could this person get out of a pencil? How many uses could I get?





What scale units should be used for the xaxis? (aka, what is the exact relationship between size and times used?)

How far out should that last pencil be spaced so that the scale is linear? What could we label all those points?




where would the fourth pencil need to be placed to have an even scale on the xaxis?how many times has the fourth pencil been used?



What is the mean number of symbols that may be written for each millimeter of pencil length?










why is it that the pencil wears out slowly at first then wears out rapidly?



What would you have thought the fourth pencil's height would have been if you didn't see it? Estimate the 5th pencil.






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