Final answer:
The algebraic expression representing the cost of buying v video games from Game Castle, with each game costing $17, is 17v. To find the total cost, multiply the quantity v by the cost per game.
Step-by-step explanation:
The cost of buying v video games, each costing $17, is represented by the algebraic expression 17v. This expression is obtained by multiplying the number of video games, v, by the cost of each individual game, $17. Therefore, if you were to buy v number of video games from Game Castle during their sale, just multiply the number of games by $17 to find the total cost.