**Educational Content on Mixing Solutions for Turkey Brine**John packages turkeys from a farm before they are sold to stores. To enhance the flavor, he soaks them in a brine solution that consists of salt and water with a concentration of 3.5% salt. John has two available solutions: one being 1.5% salt and the other 5% salt. Determining the correct amount of each solution for every batch of brine can be tedious, so John decides to construct a graph for guidance.The equation he derives for the problem is:\[\frac{0.015x + 0.05y}{x + y} = 0.035\]where $x$ represents the cups of the 1.5% solution and $y$ represents the cups of the 5% solution.The graph shows a line plotted on a coordinate grid. Below is an explanation of its components:- **X-axis**: Labeled as "1.5% Solution (in cups)"- **Y-axis**: Labeled as "5% Solution (in cups)"- The line represents the mixture that conforms to the 3.5% solution requirement.- There is a hole in the line at the origin (0,0), indicating a restriction in the graph's context.**Interpretation of the Hole on the Graph:**- The hole signifies that the brine solution cannot be composed entirely of 0 cups of 1.5% solution or 0 cups of 5% salt solution. Both solutions must be present to create a 3.5% salt brine.**Answer Options:**A. John should start with 1 cup of the 1.5% salt solution so he can also use 1 cup of the 5% solution.B. The hole means that the brine solution cannot contain 0 cups of 1.5% salt solution, nor can it contain 0 cups of 5% salt solution.C. The hole means the domain and range can both be represented by the interval (0, ∞).D. The brine recipe can be made with 0 cups of each solution.**Source:** © 2020 StrongMind. Created using GeoGebra.Understanding this content allows for precise mixing of solutions, ensuring that the brine adheres to the desired salt concentration.

Given: There are two solutions, One is 1.5% salt and the other is 5% salt. The function which…

John packages turkeys from a farm before they are sold to stores. To make them taste better, he soaks them in a brine solution. The brine is a mixture of salt and water that is 3.5% salt. He has two solutions. One is 1.5% salt and the other is 5% sa It is time consuming to figure out exactly how much of each solution to mix for each batch of brine, so he decides to make a graph for reference. The function that he correctly writes for the situation is 0.01520.05 ziy What does the hole in the graph represent in the context of this situation? Ⓒ2020 StrongMind. Created using GeoGebra = 0.035, where z represents cups of the 1.5% solution, and y represents cups of the 5% solution. 5% Solution (in cups) 15 20 25 10 1.5% Solution (in cups) O John should start with 1 cup of the 1.5% salt solution so he can also use 1 cup of the 5% solution. O The hole means that the brine solution cannot contain 0 cups of 1.5% salt solution, nor can it contain 0 cups of 5% salt solution. O The hole means the domain and range can both be represented by the interval [0, ∞o). O The brine recipe can be made with 0 cups of each solution.

John packages turkeys from a farm before they are sold to stores. To make them taste better, he soaks them in a brine solution. The brine is a mixture of salt and water that is 3.5% salt. He has two solutions. One is 1.5% salt and the other is 5% sa It is time consuming to figure out exactly how much of each solution to mix for each batch of brine, so he decides to make a graph for reference. The function that he correctly writes for the situation is 0.01520.05 ziy What does the hole in the graph represent in the context of this situation? Ⓒ2020 StrongMind. Created using GeoGebra = 0.035, where z represents cups of the 1.5% solution, and y represents cups of the 5% solution. 5% Solution (in cups) 15 20 25 10 1.5% Solution (in cups) O John should start with 1 cup of the 1.5% salt solution so he can also use 1 cup of the 5% solution. O The hole means that the brine solution cannot contain 0 cups of 1.5% salt solution, nor can it contain 0 cups of 5% salt solution. O The hole means the domain and range can both be represented by the interval [0, ∞o). O The brine recipe can be made with 0 cups of each solution.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

**Educational Content on Mixing Solutions for Turkey Brine**

John packages turkeys from a farm before they are sold to stores. To enhance the flavor, he soaks them in a brine solution that consists of salt and water with a concentration of 3.5% salt. John has two available solutions: one being 1.5% salt and the other 5% salt. Determining the correct amount of each solution for every batch of brine can be tedious, so John decides to construct a graph for guidance.

The equation he derives for the problem is:

\[
\frac{0.015x + 0.05y}{x + y} = 0.035
\]

where $x$ represents the cups of the 1.5% solution and $y$ represents the cups of the 5% solution.

The graph shows a line plotted on a coordinate grid. Below is an explanation of its components:

- **X-axis**: Labeled as "1.5% Solution (in cups)"
- **Y-axis**: Labeled as "5% Solution (in cups)"
- The line represents the mixture that conforms to the 3.5% solution requirement.
- There is a hole in the line at the origin (0,0), indicating a restriction in the graph's context.

**Interpretation of the Hole on the Graph:**

- The hole signifies that the brine solution cannot be composed entirely of 0 cups of 1.5% solution or 0 cups of 5% salt solution. Both solutions must be present to create a 3.5% salt brine.

**Answer Options:**

A. John should start with 1 cup of the 1.5% salt solution so he can also use 1 cup of the 5% solution.

B. The hole means that the brine solution cannot contain 0 cups of 1.5% salt solution, nor can it contain 0 cups of 5% salt solution.

C. The hole means the domain and range can both be represented by the interval (0, ∞).

D. The brine recipe can be made with 0 cups of each solution.

**Source:** © 2020 StrongMind. Created using GeoGebra.

Understanding this content allows for precise mixing of solutions, ensuring that the brine adheres to the desired salt concentration.

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