4-65. REVISITING “GROWING, GROWING, GROWING"
Problem 1-10 from Chapter 1 asked you to determine which figure in the pattern shown at right would have 79 tiles. Now that you know more about tile patterns, x → y tables, graphs, and rules, you can show the answer to this question in multiple ways.
Your Task: Solve this problem by completing the following tasks. Use a graphing calculator or other graphing technology to help you find a graph and a table. Be sure to record your work and justify your thinking.
• Copy the three figures at right onto a piece of graph paper. On your graph paper, extend the pattern to include Figures 1 and 5.
• Find a table, a graph, and a rule, for this pattern.
• Which figure will have 79 tiles? Use as many representations as you can to justify your answer.