Hello World,
Haven't you found it surprising how if, you get an A+, your grade goes up only by 1.5%, but if you for some mystic reason you end up with an F, your grade drops to a 36% F?
Well I have, and I developed a proof that states such a case isn't possible.
Assume that the least number of grade items is two, since any more will simply make you divide by a greater number and provide for a less realistic range to ponder on.
Eq 1: (A+#)/2=#+1.5, A >= 90, # = number of first grade item
Eq 2: (F+#)/2=F', F & F' < 60
Eq 1': (90+#)/2=#+1.5
90+#=2#+3
87=#
Eq 2: (60+#)/2<60
60+#<120
#<60
From these two equations you can see # has to be a number equal to 87 but also less than 60. Since such a number does not exist, I would be very surprise to be in a situation where an A bumps me up 1.5% but a F brings me down to a 36% or event a 59.99% F.Therefore, my point is this. Should your story by of a person in a dilemma with the above scenario coming into question, don't worry. Continue to slack off because there's no way you can possible get an F in that class.
Best wishes,
-JBF
