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Question
Seven days a year, Tiger Stadium becomes the _ fifth largest city in the state of Louisiana. Over 92,000 fans pack the stadium to watch the Tigers | play. After the game, if the fans leave at a rate of | 10% per minute, how long will it take before the | stadium is half empty? — a : :
Solution
VerifiedUse the exponential decay function:
where is the initial value and is the decay rate.
Substitute (fans) and (from 10% per minute) to find the equation:
Solve for when :
Divide both sides by 92,000:
Take the natural logarithm of both sides:
Apply Power Property of logarithms:
Divide both sides by :
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