Situation: The context you find yourself in is that you have been given 24 meters of fencing material. You must maximize the rectangular area given this 24 meters of fencing. There are many rectangles that you can make using 24 meters of fencing, but only one that maximize the area for the children. Product, Performance, and Purpose: Start with the equation for perimeter of this rectangle 2L + 2W=24. done 2. Solve this equation for L, to get thtengih in terms of W. 3. Use this lengthin terms of W, to write an equation for the Area (remember, A=LW) in terms of W. This equation is your function, T(X)=your area equation. 4. Graph this function in your graphing calculator and use the table to find the x-value(width) that corresponds to the maximum y- value(which is area). This is the width that will maximize the area. Show your table. 5. To support your answer, use direct substitution to find the limit as x approaches this width of the function. This answer should match the y-value you found in the previous question. 6. Finally, state the dimensions, length and width, of the rectangle with perimeter 24 meters that gives the rectangle a MAXIMUM AREA.

Situation: The context you find yourself in is that you have been given 24 meters of fencing material. You must maximize the rectangular area given this 24 meters of fencing. There are many rectangles that you can make using 24 meters of fencing, but only one that maximize the area for the children. Product, Performance, and Purpose: Start with the equation for perimeter of this rectangle 2L + 2W=24. done 2. Solve this equation for L, to get thtengih in terms of W. 3. Use this lengthin terms of W, to write an equation for the Area (remember, A=LW) in terms of W. This equation is your function, T(X)=your area equation. 4. Graph this function in your graphing calculator and use the table to find the x-value(width) that corresponds to the maximum y- value(which is area). This is the width that will maximize the area. Show your table. 5. To support your answer, use direct substitution to find the limit as x approaches this width of the function. This answer should match the y-value you found in the previous question. 6. Finally, state the dimensions, length and width, of the rectangle with perimeter 24 meters that gives the rectangle a MAXIMUM AREA.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter6: Systems Of Linear Equations And Inequalities

Section6.3: Elimination Using Addition And Subtraction

Problem 44PFA

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