Computer Depot offers a 12% discount on computers sold Labor Day weekend. There is also a $100 rebat

a.) Write a function for the price after the discount d(p) if p represents the original price of a computer.

b.)Write a function for the price after the rebate r(d) if d represents the discounted price.

c.) Use composition of functions to write a function to relate the selling price to the original price of a computer.

d.) Find the selling prices of computers with original prices of $799.99, $999.99, and $1499.99.

Computer Depot offers a 12% discount on computers sold Labor Day weekend. There is also a $100 rebate availablsymantic

a) Remember that a percentage can be represented by a decimal by dividing it by 100. The price of the unit after the discount is it's full price, 100 percent, minus its discount, 12 percent. In decimal terms, 1 - .12 = the final price.

So, d(p) = (1-.12)p = .88p = new price

b) r(d) = d - 100 = price after rebate.

c) For this, just substitute function d(p) for d in the function r(d).

r(d(p)) = d(p) - 100 or

s(p) = .88p - 100

d) Substitute values.

s(799.99) = .88*799.99 - 100 = 603.9912

s(999.99) = .88*999.99 - 100 = 779.9912

s(1499.99) = .88*1499.99 - 100 = 1219.9912