Question

Every day, there are 5 times more likes on an internet video of a dog which is modeled by the function c(n) = (5)n − 1, where n is the number of days since the video posted. On the first day, there were 103 likes. What is the function that shows the number of likes each day? (1 point) c(n) = (5)(103)(n − 1) c(n) = (103)n − 1 c(n) = 103(5)n − 1 c(n) = (5)103 − 1

Answer 1

The answer 
the modeled function  is c(n) = (5)^(n − 1)
It was assumed that on the first day, there were 103 likes, it can be considered as C(1), such that C(1) = 103 likes
therefore, the he function that shows the number of likes each day is 

C(n) = 103(5) ^(n − 1), 
proof:
C(1) = 103(5) ^(1 − 1) =103(5) ^(0), but  (5) ^(0) = 1, so C(1) = 103 likes