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Albert is conducting an enviormental survery about colony  of 42 dung beetles. He believes a popultion of the dung beetle is growing exponentially at a rate of 17.3% per week. In order for his hypothesis is to be corect, how many dung beetles should there be in 6 weeks?

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 Apr 27, 2015

Best Answer 

 #1
avatar+23246 
+5

After one week there should be 42 x 1.173 dung beetles.

After two weeks there should be 42 x 1.173 x 1.173 dung beetles.

After six weeks there should be 42 x 1.736 dung beetles.

The reason that you use 1.173 is:  if there is no change, you would multiply by 1.000; you now need to add another 17.3% (which is 0.173); adding 1.000 and 0.173, you get 1.173.

The 1 means that you get to keep the original number; the 0.173 means that more will be added to the original number.

 Apr 27, 2015
 #1
avatar+23246 
+5
Best Answer

After one week there should be 42 x 1.173 dung beetles.

After two weeks there should be 42 x 1.173 x 1.173 dung beetles.

After six weeks there should be 42 x 1.736 dung beetles.

The reason that you use 1.173 is:  if there is no change, you would multiply by 1.000; you now need to add another 17.3% (which is 0.173); adding 1.000 and 0.173, you get 1.173.

The 1 means that you get to keep the original number; the 0.173 means that more will be added to the original number.

geno3141 Apr 27, 2015

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