Creating Evidence Based Conclusions Carly wants to build two identical pens next to one another for a small petting zoo. She has 120 feet of fencing. What should the dimensions of the pens be to maximize the area in each pen? 1. Understand the problem. (Restate in your own words OR draw a picture.) 2. Devise a plan. (Ideas: Make a mathematical model. Use a formula. Make a table or Graph. Use Guess and Check.) 3. Carry out your plan. (Check each step as you go along.) Set up perimeter egth: Area egth: Set up D 40+36=120 ab Area of one per Solve perimeter egin for "a" 4a + 3b = 120 -36-36 Find vertex: b=-30_ (b, A) 4 =120-3b Substitute "a" into Area egtn:" (30-3/4 b) b = A 30b-3/4b² = A a=30-3/4/ 2 (-3/4)=120=20 ft A=30(20) - 3/4 (20) ² =600-300=300: Solve for "a": a= 30-3/4 (20) = 15 ft 4. Look back. (Examine the solution. Can you check the result? Does it answer the question? Make sense?) 5. Craft a statement to conclude my work. (Summarize your finding. Make it clear what your conclusion is.)

Creating Evidence Based Conclusions Carly wants to build two identical pens next to one another for a small petting zoo. She has 120 feet of fencing. What should the dimensions of the pens be to maximize the area in each pen? 1. Understand the problem. (Restate in your own words OR draw a picture.) 2. Devise a plan. (Ideas: Make a mathematical model. Use a formula. Make a table or Graph. Use Guess and Check.) 3. Carry out your plan. (Check each step as you go along.) Set up perimeter egth: Area egth: Set up D 40+36=120 ab Area of one per Solve perimeter egin for "a" 4a + 3b = 120 -36-36 Find vertex: b=-30_ (b, A) 4 =120-3b Substitute "a" into Area egtn:" (30-3/4 b) b = A 30b-3/4b² = A a=30-3/4/ 2 (-3/4)=120=20 ft A=30(20) - 3/4 (20) ² =600-300=300: Solve for "a": a= 30-3/4 (20) = 15 ft 4. Look back. (Examine the solution. Can you check the result? Does it answer the question? Make sense?) 5. Craft a statement to conclude my work. (Summarize your finding. Make it clear what your conclusion is.)

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

ChapterP: Prerequisites

SectionP.FOM: Focus On Modeling: Making The Best Decisions

Problem 5P: Edging a Planter A woman wants to make a small planter and surround it with edging material. She is...

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