Use Inequalities to Describe Limitations in a Situation
-An Office $\$ 6$

question 281

Multiple Choice

Use Inequalities to Describe Limitations in a Situation
-An office manager is buying used filing cabinets. Small file cabinets cost $\$ 6$ each and large file cabinets cost $\$ 8$ each, and the manager cannot spend more than $\$ 66$ on file cabinets. A small cabinet takes up 5 square feet of floor space and a large cabinet takes up 9 square feet, and the office has no more than 62 square feet of floor space available for file cabinets. The manager must buy at least 5 file cabinets in order to get free delivery. Let $x =$ the number of small file cabinets bought and $y =$ the number of large file cabinets bought. Write a system of inequalities that describes these constraints.

• A) \(6 x + 8 y \leq 66\)
• \(5 x + 9 y \leq 62\)
• \(x + y \geq 5\)
• B) \(6 x + 8 y \leq 66\)
• \(9 x + 5 y \leq 62\)
• \(x \geq 5\)
• C) \(6 x + 8 y \leq 66\)
• \(5 x + 9 y \leq 62\)
• \(x + y \leq 5\)
• D) \(6 x + 8 y \leq 66\)
• \(5 x + 9 y \leq 62\)
• \(y \geq 5\)

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Definitions:

Carotid Bodies

Small, sensorial organs located on each side of the neck that detect changes in the oxygen and carbon dioxide levels in the blood.

Osmotic Pressure

The pressure required to prevent the flow of water across a semipermeable membrane due to osmosis.

Aortic Arch Reflex

A cardiovascular reflex that helps regulate blood pressure by sensing changes in the arterial blood pressure through baroreceptors in the aortic arch.

Parasympathetic Stimulation

Activation of the parasympathetic nervous system, leading to responses like decreased heart rate and increased digestive activity.