SOLUTION: At t=0 , there were initially 20 bacteria. Suppose that the bacteria doubles every 100 hours. Give an exponential model for the bacteria as a function t.

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Question 1045983: At t=0 , there were initially 20 bacteria. Suppose that the bacteria doubles every 100 hours. Give an exponential model for the bacteria as a function t.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +A+ = amount of bacteria
Let +t+ = time in hrs
+A+=+20%2A2%5E%28t%2F100%29+
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check:
+t+=+0+
+A+=+20%2A2%5E%280%2F100%29+
+A+=+20%2A2%5E0+
+A+=+20+
OK
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+t+=+100+
+A+=+20%2A2%5E%28100%2F100%29+
+A+=+20%2A2%5E1+
+A+=+20%2A2+
+A+=+40+
OK