Respuesta :
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.
Answer:
n(t) = 101010(3^t)
Step-by-step explanation:
The initial number of people who knew about it is;
n(0) = 101010
The number of people who will have known in a day's time;
n(1) = 101010(3)
The number of people who will have known in 2 day's time;
n(2) = 101010(3)(3) = 101010(3^2)
The number of people who will have known in 3 day's time;
n(3) = 101010(3)(3)(3) = 101010(3^3)
Therefore, the total number n(t) of people who know about the celebrity proposing t days after the celebrity proposes becomes;
n(t) = 101010(3^t)
