SOLUTION: A culture of yeast doubles in size every 30 minutes. The size of the culture is now No. Find its size in 1 1/2 hours. (N=No 2^t/d)

Algebra ->  Trigonometry-basics -> SOLUTION: A culture of yeast doubles in size every 30 minutes. The size of the culture is now No. Find its size in 1 1/2 hours. (N=No 2^t/d)      Log On


   

Question 948952: A culture of yeast doubles in size every 30 minutes. The size of the culture is now No. Find its size in 1 1/2 hours. (N=No 2^t/d)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
?

Size doubles every half-hour.
N=N%5Bo%5D2%5Ex, using x for 1%2F2 hour periods.

x=2 periods, t=1 hour;
highlight%282x=t%29------you want this to make sense.
One hour is two periods.

Note, the N equation is initially formed using x.
Solve for x...
highlight%28x=t%2F2%29.

Now, rewrite the N equation using time as t.
highlight%28N=N%5Bo%5D2%5E%28t%2F2%29%29.