Final answer:
The correct inequality to represent Mr. Inzunza's budget for two birthday cards after purchasing a $6 book is 2c ≤ 9. This ensures the cost of two cards does not exceed the $9 he has left from his initial $15 budget.
Step-by-step explanation:
To represent the scenario with an inequality, we first identify the total amount Mr. Inzunza has to spend, the cost of the book, and the fact that he wants to buy two birthday cards, where 'c' represents the cost of one card. Since the total amount Mr. Inzunza has is $15, and he spends $6 on a book, he has $15 - $6 remaining for the two cards. Thus, the cost of two cards should be less than or equal to the remaining amount.
The correct inequality is 2c ≤ 15 - 6, which simplifies to 2c ≤ 9. This tells us that the combined cost of the two birthday cards should not exceed $9.
To clarify with an example similar to the scenario provided, consider a budget constraint situation where José has $56 to spend. If T-shirts cost $14 each and movies cost $7 each, José's budget constraint in terms of movies (y-axis) and T-shirts (x-axis) can be represented as a line on a graph. The inequality representing José's situation would ensure that the sum of the price multiplied by the quantity of T-shirts and the price multiplied by quantity of movies remains under or equal to $56.