The Correct Answer and Explanation is:
The correct answer is the second option: 3.2x + 0.8y ≤ 50
Here is a detailed explanation of how to arrive at this answer.
The goal of this problem is to translate a real world scenario into a mathematical inequality. We need to represent the relationship between the number of books and the total maximum weight allowed in a shipping box.
First, we must identify and “less than or equal to” symbol (≤).
By combining the expression for the total weight with the constraint, we form the define the variables. The problem explicitly states that x represents the number of new math books and y represents the number of complete inequality: 3.2x + 0.8y ≤ 50. This inequality correctly models the maximum new workbooks.
Next, we calculate the total weight contributed by each type of book. According to the problem, each math book weighs 3.2 pounds. To find the total weight of all the math books, we multiply the weight number of each type of book that can be shipped. of one book by the number of books, which is x. This gives us the expression 3.2x. Following the same logic for the workbooks, we know each workbook weighs 0.8 pounds. The total weight for all the workbooks is found by multiplying this weight by the number of workbooks, y, which gives us the expression `0.8
