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A discount store’s prices are 25% lower than department store prices. The function c(x) = 0.75x can be used to determine the cost c, in dollars, of an item, where x is the department store price, in dollars.

If 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) = 0.80y - 5 can be used to find 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.

Create a 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.

d(c(x)) = ______

Respuesta :

Answer:

The answer would be d(c(x)) = .60x - 5

Step-by-step explanation:

In order to write an equation for d(c(x)), start with the d(y) equation.

d(y) = .80y - 5

Now input the c(x) equation in for y and then solve.

d(c(x)) = .80(.75x) - 5

d(c(x)) = .60x - 5