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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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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D)would these be discrete or continuous relationships 

e) determine whether the 3rd column (#of toothpicks added) is arithmetic, geometric or neither. Justify the answer

h)determine the domain and range of the model

yout References AA Aav A Ανθ. Α. A Mailings Review E × 1E × ¹53 × E = 3 = n 1 2 3 4 5 6 n=1 summativetask Compatibility Mode - Saved to my Mac # small triangles View 1 4 E E ŒE ✓ $E - 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: Tell me AL T ✓ ✓ - 6 #toothpicks Added to previous case n=2 AaBbCcDdE AaBbCcDdE No Spacing Total # of toothpicks Normal 3 9 Aa BbCcD Aa BbCcD Aa BbCcDdEe Heading 1 n = 3 Title 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 (ię 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. lump (Total # of toothnicks) with a recursive relationship with t₁ = 3 Subtitle
Transcribed Image Text:yout References AA Aav A Ανθ. Α. A Mailings Review E × 1E × ¹53 × E = 3 = n 1 2 3 4 5 6 n=1 summativetask Compatibility Mode - Saved to my Mac # small triangles View 1 4 E E ŒE ✓ $E - 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: Tell me AL T ✓ ✓ - 6 #toothpicks Added to previous case n=2 AaBbCcDdE AaBbCcDdE No Spacing Total # of toothpicks Normal 3 9 Aa BbCcD Aa BbCcD Aa BbCcDdEe Heading 1 n = 3 Title 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 (ię 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. lump (Total # of toothnicks) with a recursive relationship with t₁ = 3 Subtitle
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