Answer to A store owner purchases items and adds 50% of the wholesale price to get the retail price. If, at the end of six months, an item doe snot sell, the store owner reduces the price by 20%. A) Write a function, f(x), that represents the retail price. B.) Write a function, g(x), that represents the sales price. C.) Write a composite function that could be used to find the sale price. D.) Find the sale price of an item that was originally purchased: For$75 For $200: For: $500

a is the right answer

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for