On the day that a certain celebrity proposes marriage, 101010 people know about it. Each day afterward, the number of people who know triples. Write a function that gives the total number n(t)n(t)n, left parenthesis, t, right parenthesis of people who know about the celebrity proposing ttt days after the celebrity proposes.
Accepted Solution
A:
On the day that a certain celebrity proposes marriage, 10 people know about it. Each day afterward, the number of people who know triples. The function n(t) can be denoted in two ways. Condition 1: If the day of the proposal is being t=1 The function is : [tex]n(t)=10(3^{t-1} )[/tex]Condition 2: Considering the next day as the first day after the proposal then the initial day was day zero and the function is:[tex]n(t)=10(3^{t} )[/tex]Checking: when t = 1, n(t) = 10; when t = 2, n(t) = 30; when t = 3, n(t) = 90 and so on.