Solve the Problem $$\begin{array} { l } 13 x + 5 y \geq 45 \\24 x + 35 y \geq 58\end{array}$$

question 216

Multiple Choice

Solve the problem.
-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)
• \[\begin{array} { l }
• 13 x + 5 y \geq 45 \\
• 24 x + 35 y \geq 58
• \end{array}\]
• B)
• \[\begin{array} { r }
• 13 x + 24 y \geq 45 \\
• 5 x + 35 y \geq 58
• \end{array}\]
• C)
• \[13 x + 5 y \geq 58\]
• \[24 x + 35 y \geq 45\]
• D)
• \[\begin{array} { r }
• 13 x + 24 x \geq 45 \\
• 5 y + 35 y \geq 58
• \end{array}\]

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Definitions:

Weighted Mean

The mean of a data set that accounts for the importance or weight of each value.

Population Parameter

A numerical value that describes a characteristic of an entire population, such as its mean or standard deviation.

Sample Statistic

A numerical measure that describes some characteristic of a sample, such as the sample mean or sample standard deviation.

50th Percentile

Also known as the median, it is the value below which 50% of the observations in a group of data fall.