Question

Homer and Bart plan to buy one computer for $499.00 strictly for gaming

purposes. Games cost $49.99 each.
Part A: Define each variable and write an algebraic expression to
describe how much they will spend before sales tax, based on
purchasing the computer and the number of games.
Part B: If they purchase one computer and five games, how much do
they spend before sales tax
Part C: Homer and Bart have friends. They want to purchase extra
controllers. Each controller costs $24.99. Use an algebraic
expression to describe how much they spend in total (before sales
tax) when they purchase one computer, when they purchase any
number of games, and when they purchase any number of extra
controllers:
art D: What would be the total cost, before sales tax, if Homer and Bart
purchase one computer, four games, and three extra controllers

Answer 1

Part A: T(x) = $49.99x + $499.00

Part B: $748.95

Part C: T(x) = $49.99x + $24.99y + $499.00

Part D: $773.93

Explanation:

Part A:

Let x represent the amount of games bought. Let T(x) represent total cost.

T(x) = $49.99x + $499.00

Part B:

T(x) = $49.99(5) + $499.00

T(x) = $249.95 + $499.00

T(x) = $748.95

Part C:

Let y represent the amount of controllers bought.

T(x) = $49.99x + $24.99y + $499.00

Part D:

T(x) = $49.99(4) + $24.99(3) + $499.00

T(x) = $199.96‬ + $74.97 + $499.00

T(x) = $773.93