Question

Over the past several years, the owner of a boutique on Aspen Avenue has observed a pattern in the amount of revenue for the store. The revenue reaches a maximum of about $ 46000 in March and a minimum of about $ 28000 in September. Suppose the months are numbered 1 through 12, and write a function of the form ()=sin([−])+ f ( x ) = A sin ⁡ ( B [ x − C ] ) + D that models the boutique's revenue during the year, where x corresponds to the month. If needed, you can enter π =3.1416... as 'pi' in your answer. ()= f ( x ) =

Answer 1

F(x) =
`9000 sin ((\pi )/(3) (x-3) + 37000`

Explanation:

Revenue reached in March = $46000 ( Maximum )

Revenue reached in September = $28000 ( Minimum )

f(x)=Asin(B[x−C])+D

attached below is the detailed solution of the problem

attached below is the detailed solution

F(x) =
`9000 sin ((\pi )/(3) (x-3) + 37000`