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page 2 Interpreting Graphs and Using First Differences Let's revisit the examples from Lesson 2... 1. Lan Ying works at a factory that produces square tiles for bathrooms and kitchens. She helps determine shipping costs by calculating the perimeter of each tile. Perimeter was calculated and recorded in a table, then a graph of the perimeter versus the side length of the tile was created. The graph showed a linear relationship, with the graph moving up and to the right in a straight line. Let's review the Table of Values.and complete another column called 'First Differences' First Differences Calculate the first differences by subtracting consecutive perimeters Side Perimeter Length (ст) (ст) 1 4 8 - 4 = 4 2 8 3 12 12 – 8 = 4 4 16 16 – 12 = 20 20– 16 =, For Questions b, c, and d below, underline or circle the correct choice in each set of brackets. a) Calculate the first differences in Column 3 of the table. b) The first differences are (constant/changing). c) When the side length increases by one centimetre, the perimeter increases by a (constant/different) amount. d) The plotted points suggest a (linear/non-linear) relationship.

page 2 Interpreting Graphs and Using First Differences Let's revisit the examples from Lesson 2... 1. Lan Ying works at a factory that produces square tiles for bathrooms and kitchens. She helps determine shipping costs by calculating the perimeter of each tile. Perimeter was calculated and recorded in a table, then a graph of the perimeter versus the side length of the tile was created. The graph showed a linear relationship, with the graph moving up and to the right in a straight line. Let's review the Table of Values.and complete another column called 'First Differences' First Differences Calculate the first differences by subtracting consecutive perimeters Side Perimeter Length (ст) (ст) 1 4 8 - 4 = 4 2 8 3 12 12 – 8 = 4 4 16 16 – 12 = 20 20– 16 =, For Questions b, c, and d below, underline or circle the correct choice in each set of brackets. a) Calculate the first differences in Column 3 of the table. b) The first differences are (constant/changing). c) When the side length increases by one centimetre, the perimeter increases by a (constant/different) amount. d) The plotted points suggest a (linear/non-linear) relationship.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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please answer question A, B, C, D on page 2. Thank you 

page 2 Interpreting Graphs and Using First Differences Let's revisit the examples from Lesson 2... 1. Lan Ying works at a factory that produces square tiles for bathrooms and kitchens. She helps determine shipping costs by calculating the perimeter of each tile. Perimeter was calculated and recorded in a table, then a graph of the perimeter versus the side length of the tile was created. The graph showed a linear relationship, with the graph moving up and to the right in a straight line. Let's review the Table of Values..and complete another column called 'First Differences' Side First Differences Perimeter Length (cm) Calculate the first differences by subtracting consecutive perimeters (cm) 1 4 8 – 4 = 4 12 – 8 = 4 3 12 4 16 16 – 12 = 20 20- 16 = For Questions b, c, and d below, underline or circle the correct choice in each set of brackets. a) Calculate the first differences in Column 3 of the table. b) The first differences are (constant/changing). c) When the side length increases by one centimetre, the perimeter increases by a (constant/different) amount. d) The plotted points suggest a (linear/non-linear) relationship. - 12 5
Transcribed Image Text:page 2 Interpreting Graphs and Using First Differences Let's revisit the examples from Lesson 2... 1. Lan Ying works at a factory that produces square tiles for bathrooms and kitchens. She helps determine shipping costs by calculating the perimeter of each tile. Perimeter was calculated and recorded in a table, then a graph of the perimeter versus the side length of the tile was created. The graph showed a linear relationship, with the graph moving up and to the right in a straight line. Let's review the Table of Values..and complete another column called 'First Differences' Side First Differences Perimeter Length (cm) Calculate the first differences by subtracting consecutive perimeters (cm) 1 4 8 – 4 = 4 12 – 8 = 4 3 12 4 16 16 – 12 = 20 20- 16 = For Questions b, c, and d below, underline or circle the correct choice in each set of brackets. a) Calculate the first differences in Column 3 of the table. b) The first differences are (constant/changing). c) When the side length increases by one centimetre, the perimeter increases by a (constant/different) amount. d) The plotted points suggest a (linear/non-linear) relationship. - 12 5
Creating a Table of Values and a Graph page 1 Lan Ying works at a company that produces different sizes of square tiles for bathrooms and kitchens. She determines shipping costs by calculating the perimeter of each tile. *The perimeter is determined by adding the lengths of the 4 sides of each tile. Calculate the perimeter, and complete the table below (the first row has been given). cm had Side Perimeter length (cm) 1 (cm) 2 cm by 2 cm 3 em by 3 cm 4 3 4 Describe what happens to the perimeter of each tile when the side length increases by one centimetre. Construct a graph of the perimeter of a tile versus the side length of the tile. Label the axes and include a scale The independent variable goes on the horizontal axis. (it is the quantity that changes on its own i.e. time) The dependent variable goes on the vertical axis. (it is the quantity that we are looking for the change in/reaction as units of the independent variable increase i.e. distance, cost, ..) Note:
Transcribed Image Text:Creating a Table of Values and a Graph page 1 Lan Ying works at a company that produces different sizes of square tiles for bathrooms and kitchens. She determines shipping costs by calculating the perimeter of each tile. *The perimeter is determined by adding the lengths of the 4 sides of each tile. Calculate the perimeter, and complete the table below (the first row has been given). cm had Side Perimeter length (cm) 1 (cm) 2 cm by 2 cm 3 em by 3 cm 4 3 4 Describe what happens to the perimeter of each tile when the side length increases by one centimetre. Construct a graph of the perimeter of a tile versus the side length of the tile. Label the axes and include a scale The independent variable goes on the horizontal axis. (it is the quantity that changes on its own i.e. time) The dependent variable goes on the vertical axis. (it is the quantity that we are looking for the change in/reaction as units of the independent variable increase i.e. distance, cost, ..) Note:
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