Answer:
x + y ≥ 35 and 15x + 8y ≥ 350
Explanation:
Mitch is packing books into boxes.
Each box can hold either 15 small books or 8 large books.
Now, given that Mitch needs to pack at least 35 boxes and at least 350 books.
Now, if x is the number of small book-boxes and y is the number of large book-boxes,
Then, we can write from the above conditions that
x + y ≥ 35.......... (1) and
{Since total number of boxes must be at least 35}
15x + 8y ≥ 350 .......... (2)
{Since the total number of books must be at least 350 and each large book-boxes contain 8 large books and each small book-boxes contain 15 small books}
Therefore, the equations (1) and (2) are the required inequality equations that model the situation. (Answer)