Every day, there are 3 times more likes on an internet video of a cat which is modeled by the function c(n) = (3)n − 1, where n is the number of days since the video posted. on the first day, there were 143 likes. what is the function that shows the number of likes each day?

The options are:

A.

B.  

C. c(n) = (3)143 − n

D.

SInce, The video of a cat is modeled by the function

Let us consider the A option.

When n =1

which is not equal to 143.

Hence, it is not the required function.

Let us consider the option B,

When n=1

c(1) =   = 0, which is not equal to 143.

Hence, it is not the required function.

Let us consider the C option

c(n) = (3)143 − n

When n=1,

c(1) = (3)143 − 1

= 428, which is not equal to 143.

Hence, it is not the required function.

Let us consider the D option

When n=1

c(1) =

= 143

Hence, it is the required function.

Therefore, Option D is the correct answer.

y= -