Homer and Bart plan to buy one computer for 499.00 strictly for gaming purposes. Games cost $49.99 each.
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?
Let:
x = number of games purchased
The cost of the computer is $499.00.
The cost of each game is $49.99.
Therefore, the total cost before sales tax can be described by the algebraic expression:
Total cost = Cost of computer + (Cost of each game * Number of games purchased)
Total cost = $499.00 + ($49.99 * x)
Let's define the variables:
C = Cost of the computer ($499.00)
G = Number of games
P = Cost of one game ($49.99)
To calculate how much they will spend before sales tax, we need to multiply the cost of the computer by the number of games they plan to purchase, and then add the cost of the games. The algebraic expression for this is:
Total cost = C + (G * P)
Or, substituting the values:
Total cost = 499 + (G * 49.99)