Question

John is renting games and movies from the Red Box. The rental fees are $3 per game (x) and $2 per movie (y). If he can spend at most $25, which inequality best models this situation?

A) 3x + 2y ≤ 25
B) 3x + 2y ≥ 25
C) 3x - 2y ≤ 25
D) 2x + 3y ≤ 25

Answer 1

The inequality that best models John's situation, given the rental costs and his budget limitation, is 3x + 2y <= 25.

Step-by-step explanation:

The question involves determining the inequality that best models the situation where John is renting games and movies with a budget constraint. The cost of renting a game is $3, represented as 3x, where x is the quantity of games, and the cost of renting a movie is $2, represented as 2y, where y is the quantity of movies. John can spend at most $25 on these rentals. Therefore, to represent the maximum amount John can spend on both games and movies, we use the inequality 3x + 2y ≤ 25, which captures the budget limitation that he cannot exceed $25.