Gr 11 Math Lit: Ch 1.2 Representations
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Questions and Answers

What is a characteristic of a constant ratio relationship?

  • The graph is a straight line.
  • The relationship is only applicable to linear increases.
  • The graph becomes steeper at an increasing rate. (correct)
  • The value increases at a decreasing rate.

    • What type of relationship is represented by a graph with a flat portion and an increasing portion?

  • Combination of relationships (correct)
  • Linear relationship
  • Constant ratio relationship
  • Step-function relationship

    • What is an example of a constant ratio relationship?

  • Parking fees at a supermarket
  • Monthly cost of food purchases in a household (correct)
  • Monthly subscription fee for a cell phone contract
  • Per-minute call charges in a cell phone contract

    • What is represented by the flat portion of a graph in a cell phone contract?

    <p>Fixed monthly subscription fee</p> Signup and view all the answers

    What is an example of a step-function relationship?

    <p>Parking fees at a supermarket</p> Signup and view all the answers

    What is characteristic of a step-function relationship?

    <p>The graph looks like a series of steps.</p> Signup and view all the answers

    What is represented by the increasing portion of a graph in a cell phone contract?

    <p>Additional charges for call minutes</p> Signup and view all the answers

    What type of relationship does a graph with a series of steps represent?

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

    When a value is increased by a factor and then the new increased value is again increased by the same factor, what type of relationship is represented?

    <p>Constant ratio relationship</p> Signup and view all the answers

    What is the shape of the graph of a constant ratio relationship?

    <p>A curved line that becomes steeper at an increasing rate</p> Signup and view all the answers

    What is an example of a situation where a combination of relationships might be used?

    <p>A cell phone contract</p> Signup and view all the answers

    What is the difference between a flat portion and an increasing portion of a graph?

    <p>The flat portion is where the value stays the same, and the increasing portion is where it increases</p> Signup and view all the answers

    What type of relationship is represented by a graph with a series of steps?

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

    What determines the fee charged in a step-function relationship?

    <p>The time interval</p> Signup and view all the answers

    What is the significance of the base value in a constant ratio relationship?

    <p>It is the previous value that is used to calculate the new value</p> Signup and view all the answers

    What is the main difference between a constant ratio relationship and a linear relationship?

    <p>A constant ratio relationship is not linear, while a linear relationship is</p> Signup and view all the answers

    What is the primary characteristic of a constant ratio relationship in a graph?

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

    What is the main difference between a constant ratio relationship and a combination of relationships?

    <p>The number of portions in the graph</p> Signup and view all the answers

    In a step-function relationship, what determines the fee charged for a given time interval?

    <p>The same fee applies regardless of the exact value within the interval</p> Signup and view all the answers

    What is the significance of the base value in a constant ratio relationship?

    <p>It is the starting point for the increase</p> Signup and view all the answers

    What is the purpose of a combination of relationships in a graph?

    <p>To represent different types of increases in a single context</p> Signup and view all the answers

    What is the primary difference between a flat portion and an increasing portion of a graph?

    <p>The type of increase in the value</p> Signup and view all the answers

    What is the characteristic of a graph that represents a combination of relationships?

    <p>Multiple portions with different types of increases</p> Signup and view all the answers

    What is the purpose of a step-function relationship in a graph?

    <p>To represent different fees or values for different time intervals</p> Signup and view all the answers

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