**Transcription and Explanation for Educational Purposes:**Charles has a budget of $75 to spend on a combination of music downloads and DVD rentals. Each music download costs $1.00, and each DVD rental costs $2.50. This information can be represented by the inequality $1.0m + 2.5r \leq 75$ where $m$ represents the number of music downloads and $r$ represents the number of DVD rentals. Which graph represents the possible combination of music downloads and DVD rentals Charles could choose and still spend no more than $75?**Graph Analysis:**1. **First Graph:** - **Axes:** The x-axis represents the "Number of Music Downloads" ranging from 0 to 70. The y-axis represents the "Number of DVD Rentals" ranging from 0 to 40. - **Shaded Region:** The shaded area covers the region of feasible solutions where both $m$ and $r$ fulfill the inequality $1.0m + 2.5r \leq 75$. It indicates all the combinations of music downloads and DVD rentals that Charles can afford within the $75 budget. - **Key Feature:** The line representing the inequality is a boundary of the shaded region, with the region below the line representing possible combinations.2. **Second Graph:** - **Axes:** Similar to the first graph, with the x-axis representing music downloads from 0 to 70 and the y-axis representing DVD rentals from 0 to 70. - **Shaded Region:** This graph also shows a region of possibilities, but the proportions or angles may differ. - **Key Feature:** The inequality line will serve as the boundary; combinations under or equal on this line represent feasible spending options.3. **Third Graph:** - **Axes:** Same axis specifications as the other two graphs. - **Shaded Region:** This illustration will help determine feasible solutions; the shading indicates valid combinations of downloads and rentals under the budget constraint. - **Key Feature:** It features another distinct possibility layout, with the boundary determined by the inequality line.**Conclusion:**Students are to analyze these graphs to conclude which representation correctly reflects all possible spending decisions Charles can make without exceeding his $75 budget. The accurate graph should show the potential solutions that satisfy \(1.0m + 2.5r \leq

Given query is to find the graph which suits the inequality.

arles has a budget of $75 to spend on a combination of music downloads and DVD rentals. Each music download costs $1.00, and ea tal costs $2.50. This information can be represented by the inequality 1 00m +2. 50v s 75 where m represents the number of music down lv represents the number of DVD rentals. Which graph represents the possible combination of music downloads and DVD rentals Ch ald choose and still spend no more than $75? 70 60 50 40 30 20 10 10 20 30 40 50 60 70 Number of Music Downloads A 70 60 50 40 30 20 10 10 20 30 4O 50 60 70 Number of Music Downloads 70 60- 50 40- 30 20 * 10 10 10 20 30 A Number of Music Downloads Number of DVD Rentals Number of DVD Rentals Number of DVD Rentals Number of DVD F

arles has a budget of $75 to spend on a combination of music downloads and DVD rentals. Each music download costs $1.00, and ea tal costs $2.50. This information can be represented by the inequality 1 00m +2. 50v s 75 where m represents the number of music down lv represents the number of DVD rentals. Which graph represents the possible combination of music downloads and DVD rentals Ch ald choose and still spend no more than $75? 70 60 50 40 30 20 10 10 20 30 40 50 60 70 Number of Music Downloads A 70 60 50 40 30 20 10 10 20 30 4O 50 60 70 Number of Music Downloads 70 60- 50 40- 30 20 * 10 10 10 20 30 A Number of Music Downloads Number of DVD Rentals Number of DVD Rentals Number of DVD Rentals Number of DVD F

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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