how many rounds are necessary to find a champion in a single elimination softball tournament that starts with 64 teams?

Question

mrnood · Answer

there are 2 players in the final
there are 4 players in the semi-final
there are 8 players in the quarter

keep counting till you get to 64

anonymous · Answer

I need to create an exponential function

mrnood · Answer

each round has half (0.5 times) the number of players as the previous..

anonymous · Answer

so 64(0.5)^x?

mrnood · Answer

yes

anonymous · Answer

Could you help me on one more question?

anonymous · Answer

@MrNood

mrnood · Answer

look above -

the first round has 64 players

64 (0.5)^1 = 32

have another think....

anonymous · Answer

Five hours after drinking an energy shot, half of the initial caffeine is still present in the body. If an energy shot has 96mg of caffeine, how may hours till 12mg of it remaining?

mrnood · Answer

this is the same equation

it's about half life - the factor is 0.5 again

mrnood · Answer

the solution is the number of 'half life' periods - so the number of hours is 5 times this

anonymous · Answer

96(0.5)^x
96(0.5)^3
=12
3*5=15?

mrnood · Answer

yes

anonymous · Answer

ok thanks, you've been a big help