Modeling with Two-Variable Linear Inequalities — Quiz
Question 9 • Mathematics I
Mr. Ishimoto ordered x new math books and y new workbooks for his class. The total weight of the box of books cannot be more than 50 pounds. If each math book weighs 3 point 2 pounds and each workbook weighs 0 point 8 pounds, which inequality represents the maximum number of each type of book that can be shipped in a single box?
Answer
A
3 point 2 x plus 0 point 8 y is less than 50
B
0 point 8 x plus 3 point 2 y is less than or equal to 50
C
0 point 8 x plus 3 point 2 y is less than 50
D
3 point 2 x plus 0 point 8 y is less than or equal to 50
Explanation
The math books weigh 3.2 pounds each, so x math books weigh 3.2x pounds. The workbooks weigh 0.8 pounds each, so y workbooks weigh 0.8y pounds. Their combined weight must be no more than 50 pounds, meaning it can equal 50: 3.2x + 0.8y ≤ 50. This is choice D.
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