Question

professor mcconnell is packing up the books in he office to move to a new location. a small box can hold 38 books and a large box can hold 25 books. in total, these boxes must hold at least 529 books, which is the total number of books in the professors office. select the inequality in standard form that describes this situation. use the given numbers and the following variables. x = the number of small boxes y = the number of large boxes 38x + 25y < 529 38x + 25y ≥ 529 38x + 25y ≤ 529 38x + 25y > 529

Explanation:

Step1: Determine the total number of books in boxes

The number of books in small boxes is $38x$ (since each small box holds 38 books and there are $x$ small boxes), and the number of books in large boxes is $25y$ (since each large box holds 25 books and there are $y$ large boxes). So the total number of books in all boxes is $38x + 25y$.

Step2: Set up the inequality

The boxes must hold at least 529 books. "At least" means greater than or equal to. So the inequality is $38x+25y\geq529$.

Answer:

$38x + 25y\geq529$