Answer: in the firs sven days the total number of shopers is 1139
Step-by-step explanation:
Each number is repeated 3 times.
The data that we have is:
The shopping mall records 120 total shoppers on their first day of business.
Each day the number of shopers incriements by a 10% (0r 0.1 in decimal form)
That means that if the first dat the number is 120, the second day it is:
N(2) = 120 + 0.1*120 = 120*1.1
in the third day we have other increment of a 10%
N(3) = (120*1.1) + 120*1.1*0.1 = 120*1.1^2
This is an exponential relation of the form:
N(x) = 120*1,1^(x-1)
where x is the number of days.
Then the number in the of shoppers that visited the mail in the first 7 days is:
N(1) + N(2) + N(3) + N(4) + N(5) + N(6) + N(7)
120 + 120*1.1 + 120*1.1^2 + 120*1.1^3 + 120*1.1^4 + 120*1.1^5 + 120*1.1^6 = 1138.46
But we need to round it up, because we can not have a 0.46 of a person, so we have 1139 shoppers.