AnswersFL-1200700-Mathematics for College Algebra MISModeling with Two-Variable Linear InequalitiesQuestion 6
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Modeling with Two-Variable Linear Inequalities

Question 6 • FL-1200700-Mathematics for College Algebra MIS

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 3.2 pounds and each workbook weighs 0.8 pounds, which inequality represents the maximum number of each type of book that can be shipped in a single box?

Answer
A
3.2x + 0.8y < 50
B
3.2x + 0.8y ≤ 50
C
0.8x + 3.2y < 50
D
0.8x + 3.2y ≤ 50

Explanation

The total weight is 3.2x pounds for the math books plus 0.8y pounds for the workbooks. Since the box cannot weigh more than 50 pounds, the total can equal 50 but must not exceed it: 3.2x + 0.8y ≤ 50. Therefore, the correct choice is B, 3.2x + 0.8y ≤ 50.

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