In this task there are two situations: one dealing with counting toothpicks and the other dealing with a Ferris wheel. The ultimate goal in each situation is to model the situation with the appropriate function. Answer them to the best of your ability. 1) In this problem we are creating triangular toothpick patterns. Shown below are the first three triangular patterns made with toothpicks: n 1 2 3 4 5 6 n=1 #small triangles 1 4 n=2 # toothpicks Added to previous case 6 Total # of toothpicks 3 9 n=3 a) From a physical standpoint, what does the value of n represent? b) Complete the table. c) Determine the type of relationship n has with each of the other 3 columns (ie, linear, quadratic, exponential etc). Justify your answer. d) Would these be discrete or continuous relationships? Justify your answer. e) Determine whether the 3rd column (# of toothpicks added) is arithmetic, geometric, or neither. Justify your answer. relationship with t = 3

In this task there are two situations: one dealing with counting toothpicks and the other dealing with a Ferris wheel. The ultimate goal in each situation is to model the situation with the appropriate function. Answer them to the best of your ability. 1) In this problem we are creating triangular toothpick patterns. Shown below are the first three triangular patterns made with toothpicks: n 1 2 3 4 5 6 n=1 #small triangles 1 4 n=2 # toothpicks Added to previous case 6 Total # of toothpicks 3 9 n=3 a) From a physical standpoint, what does the value of n represent? b) Complete the table. c) Determine the type of relationship n has with each of the other 3 columns (ie, linear, quadratic, exponential etc). Justify your answer. d) Would these be discrete or continuous relationships? Justify your answer. e) Determine whether the 3rd column (# of toothpicks added) is arithmetic, geometric, or neither. Justify your answer. relationship with t = 3

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.6: The Algebra Of Matrices

Problem 41E

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