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3. Write and solve the system of equations while showing all work and explaining each step. At a local high school, 2 Algebra teachers have different beliefs about how to grade students. Mr. Derivative thinks all students should start with 100 points for their assignments and lose 5 points for every assignment that is not complete. Mr. Logarithm thinks that every student has to earn their points by starting with nothing and earning 15 points per assignment that is turned in. It has to be perfect for it to be accepted. Neither teacher allows for partial credit. a. Write equations representing the amount of points earned in each teacher's class. Mr. Derivative's equation: Explanation of what Mr. Derivative's equation means. Explain the meaning of the numbers you used and why they fit into the equation: Mr. Logarithm's equation: Explanation of what Mr. Logarithm's equation means. Explain the meaning of the numbers you used and why they fit into the equation: b. Create a graph and table of both teachers. Table: Graph: Either do this on Desmos and insert a

3. Write and solve the system of equations while showing all work and explaining each step. At a local high school, 2 Algebra teachers have different beliefs about how to grade students. Mr. Derivative thinks all students should start with 100 points for their assignments and lose 5 points for every assignment that is not complete. Mr. Logarithm thinks that every student has to earn their points by starting with nothing and earning 15 points per assignment that is turned in. It has to be perfect for it to be accepted. Neither teacher allows for partial credit. a. Write equations representing the amount of points earned in each teacher's class. Mr. Derivative's equation: Explanation of what Mr. Derivative's equation means. Explain the meaning of the numbers you used and why they fit into the equation: Mr. Logarithm's equation: Explanation of what Mr. Logarithm's equation means. Explain the meaning of the numbers you used and why they fit into the equation: b. Create a graph and table of both teachers. Table: Graph: Either do this on Desmos and insert a

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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**System of Equations Problem** Write and solve the system of equations while showing all work and explaining each step. At a local high school, two Algebra teachers have different beliefs about how to grade students. Mr. Derivative thinks all students should start with 100 points for their assignments and lose 5 points for every assignment that is not complete. Mr. Logarithm thinks that every student has to earn their points by starting with nothing and earning 15 points per assignment that is turned in. It has to be perfect for it to be accepted. Neither teacher allows for partial credit. a. **Write Equations Representing the Amount of Points Earned in Each Teacher's Class:** - **Mr. Derivative’s Equation:** Explanation of what Mr. Derivative’s equation means. Explain the meaning of the numbers you used and why they fit into the equation. - **Mr. Logarithm’s Equation:** Explanation of what Mr. Logarithm’s equation means. Explain the meaning of the numbers you used and why they fit into the equation. b. **Create a Graph and Table of Both Teachers:** - **Table:** | Number of Assignments | Mr. D | Mr. L | |-----------------------|-------|-------| | 1 | | | | 2 | | | | 3 | | | | 4 | | | | 5 | | | | 6 | | | | 7 | | | | 8 | | | - **Graph:** Either do this on Desmos and insert a screenshot here or do it on your own paper and insert a photo. c. **Solve this System of Equations Algebraically:** Find the number of assignments it will take to have the same point value. Show all work and explain all steps. Either type them in here with all the steps or do the work on your own paper and upload a photo of your work here.
Transcribed Image Text:**System of Equations Problem** Write and solve the system of equations while showing all work and explaining each step. At a local high school, two Algebra teachers have different beliefs about how to grade students. Mr. Derivative thinks all students should start with 100 points for their assignments and lose 5 points for every assignment that is not complete. Mr. Logarithm thinks that every student has to earn their points by starting with nothing and earning 15 points per assignment that is turned in. It has to be perfect for it to be accepted. Neither teacher allows for partial credit. a. **Write Equations Representing the Amount of Points Earned in Each Teacher's Class:** - **Mr. Derivative’s Equation:** Explanation of what Mr. Derivative’s equation means. Explain the meaning of the numbers you used and why they fit into the equation. - **Mr. Logarithm’s Equation:** Explanation of what Mr. Logarithm’s equation means. Explain the meaning of the numbers you used and why they fit into the equation. b. **Create a Graph and Table of Both Teachers:** - **Table:** | Number of Assignments | Mr. D | Mr. L | |-----------------------|-------|-------| | 1 | | | | 2 | | | | 3 | | | | 4 | | | | 5 | | | | 6 | | | | 7 | | | | 8 | | | - **Graph:** Either do this on Desmos and insert a screenshot here or do it on your own paper and insert a photo. c. **Solve this System of Equations Algebraically:** Find the number of assignments it will take to have the same point value. Show all work and explain all steps. Either type them in here with all the steps or do the work on your own paper and upload a photo of your work here.
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