Question

A furniture store, Store A, is going out of business after 6 weeks and needs to sell everything. The sales team has decided that each week they will reduce the previous weeks price in half. You have found a monogrammed bedroom set for $1675.00 you want to purchase. Create a function that models this situation.

Answer 1

The function that models this situation is:

`C(n) = (1675)/(2^(n) ), 1 \leq n \leq 6`

Explanation:

Cost of the bedroom set initially = $1675.00.

Cost of the bedroom set after 1 week =
`(1675)/(2^(1) )`

Cost of the bedroom set after 2 weeks =
`(((1675)/(2) ))/(2)`

`=(1675)/(2^(2) )`

Cost of the bedroom set after 3 weeks
`=(1675)/(2^(3) )` and so on.

Hence, the function that models this situation is:

`C(n) = (1675)/(2^(n) ), 1 \leq n \leq 6`.