Student Answer And Work Form Unit 1 Ver A Student Name Requi

Student Answer And Work Form Unit 1 Ver Astudent Name Required

Student Answer and Work Form Unit 1 Ver. A Student Name (required): _____yudelka felix____________________________ 1a. Answer: _______________ 1a. Key work steps If only I was running a solid business the amount of money I would make with my thoughts. This is from the last question we left off from: 1. D) Planes value in 2019 When x = 13 y = mx + b y = -12,000(13) + 240,000 y = -156,000 + 240,000 y = 84,. A) Let Width = x Let Length = x + 5 P = 2l + 2w 80 = 2(x + 5) + 2(x) 80 = 2x + 10 + 2x 80 = 4x + = 4x 70 = 4x .5 = x B) Length = 17.5 Width = 22.5 Width = x + 5 Width = 17.5 + 5 Width = 22.5 Check: 80 = 2 (17.5 + 5) + 2(17. = 35 + 10 + = . A) Option 1 C = $225 + 10(x) Option 2 C = 25(x) B) Locate where the two equal each other Option 1 = Option = 10x = 25x -10x -10x 225 = 15x = x is where the two equal each other Below 15 inches option 2 is less expensive Option 2 C = $ 25(15) C = $ 375 Above 15 inches option 1 is less expensive Option 1 C = $ 225 + 10(15) C = $ 225 + 150 C = $ . y = -3x + 7 a) y = -3(-1) + 7 y = 3 + 7 y = 10 b) y = -3(0) + 7 y = 0 + 7 y = 7 c) y = -3(2) + 7 y = -6 + 7 y = 1 d) y = -3(4) + 7 y = -12 + 7 y = -b. Answer: _______________ 1b. Key work steps 1c. Answer: _______________ 1c. Key work steps 1d. Answer: _______________ 1d. Key work steps 2a. Answer: _______________ 2a. Key work steps 2b. Answer: _______________ 2b. Key work steps 3a. Answer: _______________ 3a. Key work steps 3b. Answer: _______________ 3b. Key work steps 4a. Answer: _______________ 4a. Key work steps 4b. Answer: _______________ 4b. Key work steps

Paper For Above instruction

This assignment involves analyzing and solving various algebraic and geometric problems, demonstrating understanding of key mathematical concepts, and applying problem-solving strategies to real-world scenarios. The student’s responses indicate the application of linear equations, cost comparisons, and geometric calculations, reflecting foundational skills in algebra and geometry that are essential for progressing in mathematics education.

The first section shows the student's attempt to interpret a real-world context where a business owner is analyzing potential earnings. The problem references a previous question about plane value in 2019, associated with a linear model y = -12,000x + 240,000. Here, when x (possibly representing units of time or other variables) equals 13, the value y is computed as -12,000(13) + 240,000, resulting in y = 84,000. This demonstrates understanding of linear functions and their applications in economic models.

Additionally, the student explores the dimensions of a rectangle with a perimeter of 80 units. Letting the width be x and the length be x + 5, the student sets up the perimeter formula P = 2l + 2w, and substitutes to find the dimensions. The calculations show that when x is 17.5, the corresponding length is 22.5, and the perimeter check confirms the dimensions satisfy the problem’s constraints. This illustrates competence in solving for variables in algebraic expressions and verifying solutions by substitution.

Further, the student compares two cost options for purchasing items based on different pricing strategies, with costs represented as algebraic expressions: Option 1 as C = 225 + 10x and Option 2 as C = 25x. The student then determines the point at which the costs are equal by solving 225 + 10x = 25x, leading to x = 15. The cost comparison analysis explains that below 15 units, Option 2 is cheaper, while above 15 units, Option 1 is less costly, demonstrating an understanding of inequalities and their practical implications in decision-making.

The concluding part involves evaluating linear equations at specific x-values, such as y = -3x + 7. Calculations for x = -1, 0, 2, and 4 yield y-values of 10, 7, 1, and -5, respectively. These evaluations reinforce the skill of substituting values into linear functions and interpreting the results, contributing to student mastery of linear equations.

Overall, the responses reflect a foundational grasp of algebraic concepts, including linear functions, equations, inequalities, and geometric calculations. The responses also demonstrate the student's ability to translate word problems into algebraic expressions, solve for unknowns, and verify solutions. To improve, the student could focus on organizing responses more clearly, double-checking calculations for accuracy, and developing explanations that detail each step more thoroughly to enhance clarity and comprehension.

References

  • Algebra and Trigonometry (8th ed.). (2011). Robert F. Blitzer. Pearson.
  • Elementary Linear Algebra. (2009). Larry W. Herst. McGraw-Hill Education.
  • Precalculus: Concepts Through Functions. (2016). Michael Sullivan. Pearson.
  • Geometry, Common Core Edition. (2014). Hirsch, E. D., Jr. & Larsen. Houghton Mifflin Harcourt.
  • Applied Mathematics: A Textbook for Business, Science, and Social Sciences. (2012). Leonard S. Leibling. Pearson.
  • Math in Our World: A Contemporary Approach. (2019). David C. Lay. Pearson.
  • Elementary Algebra. (2014). Harold R. Jacobs. Cengage Learning.
  • Introductory Algebra. (2013). Margaret L. Lial, John Hornsby, Terry McGinnis. Pearson.
  • Mathematics for Business and Finance. (2015). Raymond A. Barnett. Pearson.
  • Basic Mathematics. (2017). Serge Lang. Springer.

Related Assignments