Monday

September 15, 2014

September 15, 2014

Posted by **Mary** on Sunday, January 17, 2010 at 11:38pm.

Toss Number = 0,# of dice remaining=30

Toss Number = 1,# of dice remaining=20

Toss Number = 2,# of dice remaining=15

Toss Number = 3,# of dice remaining=11

Toss Number = 4,# of dice remaining=8

Toss Number = 5,# of dice remaining=6

Toss Number = 6,# of dice remaining=4

Toss Number = 7,# of dice remaining=3

Toss Number = 8,# of dice remaining=2

Estimate the best function rule to model this data. Give your answer in the form of y=a(b^x)

(^x meaning exponent)

- Algebra -
**Damon**, Monday, January 18, 2010 at 4:47ameach toss on the average you eliminate 2 of the 6 sides

so

N(t+1) = n(t) * 4/6

in continuous form

dN/dt = -(2/6) N

of course 2/6 is 1/3

solution of form N = No e^kt

where No = 30

dN/dt = kNo e^kt

so k=-1/3

try

N = 30 e^-(t/3)

for example if t = 6

N = 30 e^-2

N = 4.06

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