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Use Inequalities to Describe Limitations in a Situation
-A Dietitian $0.25\$ 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\$ 0.25 and an ounce of potatoes for $0.02\$ 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=x = the number of ounces of chicken and y=y = the number of ounces of potatoes purchased per patient. Write a system of inequalities that describes these constraints.


A)
13x+5y4513 x + 5 y \geq 45
24x+35y5824 x + 35 y \geq 58
B)
13x+24y4513 x + 24 y \geq 45
5x+35y585 x+35 y \geq 58
C)
13x+5y5824x+35y45\begin{array}{l}13 x+5 y \geq 58 \\24 x+35 y \geq 45\end{array}
D)
13x+24x455y+35y58\begin{array}{r}13 x+24 x \geq 45 \\5 y+35 y \geq 58\end{array}

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