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Patricia keeps apples in 3 bins and 2 crates in her store. Each bin can hold no more than 200 pounds. Each crate can hold no more than 50 pounds. Which graph represents all of the possible weights, in pounds, of apples Patricia can keep in her store? + 600 600 600 600 € 650 700 750 800 650 700 750 800 + 650 700 750 800 650 700 750 800

Patricia keeps apples in 3 bins and 2 crates in her store. Each bin can hold no more than 200 pounds. Each crate can hold no more than 50 pounds. Which graph represents all of the possible weights, in pounds, of apples Patricia can keep in her store? + 600 600 600 600 € 650 700 750 800 650 700 750 800 + 650 700 750 800 650 700 750 800

Algebra and Trigonometry (6th Edition)
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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Patricia keeps apples in 3 bins and 2 crates in her store. Each bin can hold no more than 200 pounds. Each crate can hold no more than 50 pounds. Which graph represents all of the possible weights, in pounds, of apples Patricia can keep in her store? ### Explanation of Graphs Each graph is a number line representing a range of possible total weights of the apples: 1. **First Graph:** The number line is marked from 600 to 800. It has a closed circle at 700 with arrows extending in both directions, indicating a range from 600 to 800. 2. **Second Graph:** The number line is marked from 600 to 800. It has a closed circle at 700, indicating a range that does not extend beyond this point. 3. **Third Graph:** Similar to the second, the closed circle is at 700, and it doesn’t extend beyond this point. 4. **Fourth Graph:** The number line is marked from 600 to 800. It has a closed circle at 700 with arrows extending in both directions, similar to the first graph. ### Conclusion To find the correct representation of weights, calculate the total possible weight Patricia can keep: - Maximum weight in bins = 3 bins × 200 pounds = 600 pounds - Maximum weight in crates = 2 crates × 50 pounds = 100 pounds - Total maximum weight = 600 + 100 = 700 pounds Thus, the first or fourth graph, showing a range with a closed circle at 700 and extending between 600 and 800, correctly represents the possible total weight Patricia can handle.
Transcribed Image Text:Patricia keeps apples in 3 bins and 2 crates in her store. Each bin can hold no more than 200 pounds. Each crate can hold no more than 50 pounds. Which graph represents all of the possible weights, in pounds, of apples Patricia can keep in her store? ### Explanation of Graphs Each graph is a number line representing a range of possible total weights of the apples: 1. **First Graph:** The number line is marked from 600 to 800. It has a closed circle at 700 with arrows extending in both directions, indicating a range from 600 to 800. 2. **Second Graph:** The number line is marked from 600 to 800. It has a closed circle at 700, indicating a range that does not extend beyond this point. 3. **Third Graph:** Similar to the second, the closed circle is at 700, and it doesn’t extend beyond this point. 4. **Fourth Graph:** The number line is marked from 600 to 800. It has a closed circle at 700 with arrows extending in both directions, similar to the first graph. ### Conclusion To find the correct representation of weights, calculate the total possible weight Patricia can keep: - Maximum weight in bins = 3 bins × 200 pounds = 600 pounds - Maximum weight in crates = 2 crates × 50 pounds = 100 pounds - Total maximum weight = 600 + 100 = 700 pounds Thus, the first or fourth graph, showing a range with a closed circle at 700 and extending between 600 and 800, correctly represents the possible total weight Patricia can handle.
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