Use Inequalities to Describe Limitations in a Situation
-A Dietitian $\$ 0.25$

question 23

Multiple Choice

Use Inequalities to Describe Limitations in a Situation
-A dietitian needs to purchase food for patients. She can purchase an ounce of chicken for $\$ 0.25$ and an ounce of potatoes for $\$ 0.02$ . The dietician is bound by the following constraints.
- Each ounce of chicken contains 13 grams of protein and 24 grams of carbohydrates.
- Each ounce of potatoes contains 5 grams of protein and 35 grams of carbohydrates.
- The minimum daily requirements for the patients under the dietitian's care are 45 grams of protein and 58 grams of carbohydrates.
Let $x =$ the number of ounces of chicken and $y =$ the number of ounces of potatoes purchased per patient. Write a system of inequalities that describes these constraints.

• A)
• \(13 x + 5 y \geq 45\)
• \(24 x + 35 y \geq 58\)
• B)
• \(13 x + 24 y \geq 45\)
• \(5 x+35 y \geq 58\)
• C)
• \(\begin{array}{l}
• 13 x+5 y \geq 58 \\
• 24 x+35 y \geq 45
• \end{array}\)
• D)
• \(\begin{array}{r}
• 13 x+24 x \geq 45 \\
• 5 y+35 y \geq 58
• \end{array}\)

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Definitions:

Binding Price Ceiling

A legally imposed price limit that is set below the equilibrium price, leading to a shortage as demand exceeds supply at that price level.

Graph (a)

A graph is a visual representation of relationships between two or more variables or sets of data, often using lines, bars, or points in a two-dimensional or three-dimensional space.

Price Control

Government-imposed limits on the price charged for commodities and services in an effort to curb inflation or ensure affordability.

Public's Need

Refers to the essential goods, services, and conditions necessary for the well-being of a community or population.