Gr 11 Math Lit: Ch 1.1 Patterns and Relationships

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Questions and Answers

What is the main purpose of drawing graphs for unfamiliar situations?

  • To recognize constant ratio relationships only
  • To make sense of the situation and reveal patterns and trends (correct)
  • To find a specific formula or pattern
  • To analyze the meaning of different portions of a graph

What type of relationships can be represented by graphs with different fees for different time intervals?

  • Step-function relationships (correct)
  • Combination relationships
  • Constant ratio relationships
  • Quadratic relationships

What is true about moving from one time interval to another in a step-function relationship?

  • The fee increases by a constant amount
  • The fee remains the same
  • The fee changes to a completely different amount unrelated to the previous fee (correct)
  • The fee decreases by a constant ratio

What skill is required to analyze the meaning of different portions of a graph?

<p>Interpreting and analyzing graphs (B)</p> Signup and view all the answers

What type of graph would best represent a non-linear relationship?

<p>A curved graph (A)</p> Signup and view all the answers

What is a key competency required of learners in graph interpretation?

<p>Understanding the implications of different graph types (A)</p> Signup and view all the answers

What is a characteristic of a constant ratio relationship?

<p>The graph becomes steeper at an increasing rate. (B)</p> Signup and view all the answers

What type of relationship is represented by a graph that is made up of different portions?

<p>Combination of relationships (C)</p> Signup and view all the answers

What is an example of a step-function relationship?

<p>Parkings fees at a supermarket (B)</p> Signup and view all the answers

What is the increasing portion of a graph in a combination of relationships?

<p>Represents additional charges that increase linearly with usage. (A)</p> Signup and view all the answers

What is a characteristic of a graph that represents a constant ratio relationship?

<p>The graph becomes steeper at an increasing rate. (A)</p> Signup and view all the answers

What is the flat portion of a graph in a combination of relationships?

<p>Represents a fixed fee that does not change with usage. (C)</p> Signup and view all the answers

What occurs in a constant ratio relationship when a value is increased by a factor?

<p>The new value is increased by the factor, and then this new value is again increased by the factor. (D)</p> Signup and view all the answers

What type of relationship is represented by a graph that has a flat portion and an increasing portion?

<p>Combination of relationships (D)</p> Signup and view all the answers

In a constant ratio relationship, what happens to the base value with each subsequent iteration?

<p>It increases by a progressively larger amount (B)</p> Signup and view all the answers

What is a key feature of a graph that represents a combination of relationships?

<p>It has multiple distinct portions (B)</p> Signup and view all the answers

In a step-function relationship, what determines the fee charged?

<p>The time interval itself (C)</p> Signup and view all the answers

What is a characteristic of a graph that represents a constant ratio relationship?

<p>It becomes steeper at an increasing rate (B)</p> Signup and view all the answers

What type of relationship is represented by a graph with a flat portion and a non-linear portion?

<p>Combination of relationships (B)</p> Signup and view all the answers

In a constant ratio relationship, what happens to the rate of increase?

<p>It increases at an increasing rate (A)</p> Signup and view all the answers

What is a key difference between a step-function relationship and a combination of relationships?

<p>The way the fees change within each time interval (D)</p> Signup and view all the answers

What is a consequence of a constant ratio relationship?

<p>The value increases at an increasing rate (B)</p> Signup and view all the answers

Which type of relationship is best represented by a graph with distinct fees for different time intervals, where each fee is not dependent on the previous fee?

<p>Step-function relationship (A)</p> Signup and view all the answers

What is the primary purpose of drawing graphs for real-world situations?

<p>To identify patterns and trends (C)</p> Signup and view all the answers

What is a key aspect of interpreting graphs in the context of real-world situations?

<p>Analyzing the meaning of different portions of the graph (A)</p> Signup and view all the answers

What type of graph is best suited to represent a situation where the rate of change is constant?

<p>Linear graph (D)</p> Signup and view all the answers

What is a characteristic of a combination relationship?

<p>The graph has a flat portion and an increasing portion (A)</p> Signup and view all the answers

What skill is required to recognize the implications of a step-function relationship?

<p>Interpreting graphs (D)</p> Signup and view all the answers

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