SOLUTION: Suppose the flavor of gum you are chewing can have a rating from 0 to 1, where 0 = no flavor at all and 1 = the best possible flavor (that is, when you first start to chew it).
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Question 1095107: Suppose the flavor of gum you are chewing can have a rating from 0 to 1, where 0 = no flavor at all and 1 = the best possible flavor (that is, when you first start to chew it).
Now assume that the gum company announces in the advertising that the flavor has a half-life of 55 minutes.
If you have been chewing on this particular flavor of gum for a total of 115 minutes, what would be the fraction of the original flavor rating Answer by greenestamps(13198) (Show Source):
You can put this solution on YOUR website! This is exponential decay: whatever the starting value, the value is cut in half every 55 minutes. Algebraically,
where n is the number of half-lives -- i.e., the number of 55-minute intervals.
For 115 minutes of chewing, the number of half-lives is 115/55. 0.5^(115/55) is about 0.235. So about 23.5% of the original flavor should still be there after 115 minutes.
