Ms. Benton is buying gel pens (G) and markers (M) to replenish the supplies for her art classes. A pack of gel pens costs $14, and a pack of markers costs $9. Ms. Benton must spend less than $80. Which inequality models this situation?

A) $14G + 9M \leq 80$

B) $14G + 9M > 80$

C) $14G - 9M \geq 80$

D) $14G + 9M < 80$

Question

27-09-2024
Mathematics

High School

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Ms. Benton is buying gel pens (G) and markers (M) to replenish the supplies for her art classes. A pack of gel pens costs $14, and a pack of markers costs $9. Ms. Benton must spend less than $80. Which inequality models this situation?

A) $14G + 9M \leq 80$

B) $14G + 9M > 80$

C) $14G - 9M \geq 80$

D) $14G + 9M < 80$

Answer :

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riyapandey3400 riyapandey3400 · Answer 1 · 2024-12-01T22:56:28-05:00

Final answer:

The appropriate inequality that represents Ms. Benton's situation of buying supplies for her art class without exceeding the budget of $80 is D) 14G + 9M < 80.

Explanation:

The question is about finding an inequality that represents the scenario where Ms. Benton is buying gel pens (G) and markers (M) for her art classes. The cost for each gel pen is $14 and a marker is $9. Ms. Benton has $80 to spend and doesn't want to exceed this budget.

Based on the information, the inequality that represents Ms. Benton's situation is D) 14G + 9M < 80. This inequality shows that the total cost of the gel pens and markers should be less than $80, which aligns with the constraints given in the scenario.

In mathematics, inequalities are mathematical expressions that compare two values, showing the relationship between them. Inequalities are used to indicate that one value is greater than, less than, or not equal to another value.

They are a fundamental part of mathematics and are commonly used in various branches of mathematics, including algebra, calculus, and linear programming.

Learn more about Inequality here:

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