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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:

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:

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 16CT: How many six-digit license plates can be made if no plate begins with 0 or 1?
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Paste Times New... esc Page 1 of 2 12 < BIU ab X₂ x² A AV F1 395 words IX English (United States) Aa @ F2 # = 80 F3 n 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: 1 2 3 4 5 6 n=1 # small triangles $ Ev V 1 4 000 000 F4 # toothpicks Added to previous case do L IN - % 6 n =2 F5 AaBbCcDdE AaBbCcDdE AaBbCcDc AaBb( AaBbCcDdEe Normal No Spacing Heading 1 Title Subtitle Total # of toothpicks f) Model the 4th column (Total # of toothpicks) with a recursive relationship with t₁ = 3 g) Model the 4th column with regression software (hint: refer to the Curve Expert tutorial in Unit 4 Activity 5) or a graphing calculator. h) Determine the domain and range of your model i) Predict the number of toothpicks needed to make a triangle with 100 toothpicks on one side. Show your work. j) If you only had 300 toothpicks. What would the side length of the biggest triangle you could make be? Show your work. 3 9 <C ::. F6 a) From a physical standpoint, what does the value of n represent? MacBook Air a) 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. n=3 & 7 F7 8 DII F8 9 Focus F9 Styles Dictate Pane REE F10 X F11 Sensitivity + 11 Editor 124% F12
Transcribed Image Text:Paste Times New... esc Page 1 of 2 12 < BIU ab X₂ x² A AV F1 395 words IX English (United States) Aa @ F2 # = 80 F3 n 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: 1 2 3 4 5 6 n=1 # small triangles $ Ev V 1 4 000 000 F4 # toothpicks Added to previous case do L IN - % 6 n =2 F5 AaBbCcDdE AaBbCcDdE AaBbCcDc AaBb( AaBbCcDdEe Normal No Spacing Heading 1 Title Subtitle Total # of toothpicks f) Model the 4th column (Total # of toothpicks) with a recursive relationship with t₁ = 3 g) Model the 4th column with regression software (hint: refer to the Curve Expert tutorial in Unit 4 Activity 5) or a graphing calculator. h) Determine the domain and range of your model i) Predict the number of toothpicks needed to make a triangle with 100 toothpicks on one side. Show your work. j) If you only had 300 toothpicks. What would the side length of the biggest triangle you could make be? Show your work. 3 9 <C ::. F6 a) From a physical standpoint, what does the value of n represent? MacBook Air a) 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. n=3 & 7 F7 8 DII F8 9 Focus F9 Styles Dictate Pane REE F10 X F11 Sensitivity + 11 Editor 124% F12
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