Question

The table below shows the amount of money, in cents, Celine had in her savings account after different number of years:

Answer 1

Answer:

Hence, Celine will save 2125764 cents in 12 years.

Step-by-step explanation:

We are given a set of values or table of values  as:

Years          1             2           3           4           5               6

Money       12           36        108        324      972         2,916

Hence, we could clearly see that the money is increasing as a multiple of 3 as compared to money in the previous year.

i.e in 1'st year it is 12 cents.

In second year it is:

12×3=36 cents.

in third year it is:

36×3=108 cents

and so on.

Let $m_n$ denote the money in the nth year.

So, the relation is given by:

$m_n=12\times 3^{n-1}$

Hence, the money that Celine will save in 12 years is given by:

$m_{12}=12\times 3^{12-1}\\\\m_{12}=12\times 3^{11}\\\\m_{12}=2125764$

Hence, Celine will save 2125764 cents in 12 years.

Answer 2

2,125,764 because every year it is multiplier by three which reaches to 2,125,764