A new shopping mall records 150 total shoppers on their first day of business. Each day after that, the number of shoppers is 15% more than the number of shoppers the day before. Which expression gives the total number of shoppers in the first n days of business? Choose 1 answer: (A) 1.15((1-150^(n))/(1-150)) (B) 0.85((1-150^(n))/(1-150)) (C) 150((1-1.15^(n))/(1-1.15)) (D) 150((1-0.85^(n))/(1-0.85))

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Calculate Daily Increase: First day shoppers are 150. Each subsequent day increases by 15%, so multiply by 1.15 for each day after the first.Geometric Series Formula: The total number of shoppers over n days is a geometric series with the first term a = 150 and common ratio r = 1.15.Calculate Total Shoppers: The sum of the first n terms of a geometric series is given by S_n = a(1-r^n)/(1-r).Substitute Values: Substitute a = 150 and r = 1.15 into the formula to get the expression for the total number of shoppers: S_n = 150((1-1.15^n)/(1-1.15)).Match with Answer Choices: Check the answer choices to find the expression that matches our calculation.

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