Find the equation of an exponential function in a word problem context

question

a new trendy restaurant is growing exponentially. after being open for 11 months the restaurant was serving an average of

310 customers a day. by month 15, the restaurant was serving about 456 customers a day.

write an exponential function n(t) that models average number of customers, n after t months of being open. if necessary,

round any values to four decimal places (do not round on intermediate steps). write your answer in the form a(b)^t