Question

Samantha has a gift card for $250 to Gamestop to purchase some video games and controllers. Each video game is priced at $45 and each controller is priced at $65. Write an inequality that represents all possible combinations of x, the number of video games, and y, the number of controllers, Samantha can buy with her gift card.

Answer 1

An inequality that represents all possible combinations of video games and controllers Samantha can buy with her $250 gift card is 45x + 65y ≤ 250, where x is the number of video games and y is the number of controllers.

Step-by-step explanation:

The question asks to write an inequality that will represent the possible combinations of video games and controllers Samantha can buy with a $250 gift card at GameStop. Since each video game costs $45 (let's call this x) and each controller costs $65 (let's call this y), the inequality representing the problem is:

45x + 65y ≤ 250

This inequality shows that the total cost of x video games and y controllers must be less than or equal to $250, the value of the gift card. Samantha will need to pick combinations of video games and controllers such that when the number of games is multiplied by $45 and the number of controllers is multiplied by $65, the total does not exceed her $250 gift card limit.