Question

SOMEONE PLEASE ANSWER ASAP FOR BRAINLIEST!!!!!

Answer 1

Answer:

$d(c(x))=0.60x-5$

Step-by-step explanation:

We have been given that a discount store’s prices are 25% lower than department store prices. The function $c(x)=0.75x$ represents the cost (c), in dollars, of an item, where x is the department store price, in dollars.  

We are also told that when the item has not sold in one month, the discount store takes an additional 20% off the discounted price and an additional $5 off the total purchase. The function $d(y)=0.85y-5$ represents d, the cost, in dollars, of an item that has not been sold for a month, where y is the discount store price, in dollars.

We are supposed to find the function d(c(x)) that represents the final price of an item when a costumer buys an item that has been in the discount store for a month.

We can see that function d(c(x)) is a composite function. To get our composite function we just need to substitute function c(x) in function d(y).

After making the substitution we will get our desired function as,

$d(c(x))=0.80*(0.75x)-5$

Upon simplifying our function will be:

$d(c(x))=0.60x-5$

Therefore, the function $d(c(x))=0.60x-5$ represents the final price of an item when a costumer buys an item that has been in the discount store for a month.