Gr 12 Math Lit: Ch 1.3 Tarif Systems
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Questions and Answers

What is the break-even point in break-even analysis?

  • The point where the cost of one option is lower than the other
  • The point where the cost of one option is higher than the other
  • The point where the cost of one option is half of the other
  • The point where the total costs of two options are equal (correct)

    • What is the main purpose of identifying the break-even point in break-even analysis?

  • To compare the costs of two options
  • To calculate the total cost of two options
  • To decide which option is more cost-effective at different levels of usage (correct)
  • To determine which option is more expensive

    • What skills are applied to create and analyze graphs in break-even analysis?

  • Skills from the 'space and geometry' section of Mathematics Literacy
  • Skills from the 'numbers and operations' section of Mathematics Literacy
  • Skills from the 'measuring and data' section of Mathematics Literacy
  • Skills from the 'patterns, relationships and representations' section of Mathematics Literacy (correct)

    • What is the main application of break-even analysis in household projects?

    <p>Comparing electricity or water tariffs to determine the best plan for a family</p> Signup and view all the answers

    What is the result of break-even analysis in terms of cost-effectiveness?

    <p>It determines which option is more cost-effective at different levels of usage</p> Signup and view all the answers

    What is essential to perform in break-even analysis to determine costs and break-even points?

    <p>Accurate mathematical calculations</p> Signup and view all the answers

    What is the primary purpose of a tariff system?

    <p>To specify how charges are applied based on usage</p> Signup and view all the answers

    What is the fixed amount in a tariff system?

    <p>A constant fee that must be paid regardless of usage</p> Signup and view all the answers

    What is the tariff rate in a tariff system?

    <p>The amount by which the total cost changes per unit of usage</p> Signup and view all the answers

    What is the first step in comparing tariff systems?

    <p>Analyse each option individually</p> Signup and view all the answers

    What type of graph is typically obtained when comparing tariff systems?

    <p>A horizontal line up to a certain number of units, followed by a straight-line graph</p> Signup and view all the answers

    What do points of intersection on the graph represent when comparing tariff systems?

    <p>The points at which the cost graphs of different options cross each other</p> Signup and view all the answers

    What is the purpose of drawing graphs when comparing tariff systems?

    <p>To visually compare the costs of different options</p> Signup and view all the answers

    What is the result of comparing different tariff systems?

    <p>Points of intersection that determine at what level of usage one option becomes cheaper or more expensive than another</p> Signup and view all the answers

    Which of the following is a common example of a tariff system?

    <p>Municipal tariffs</p> Signup and view all the answers

    What is the purpose of breaking down costs into fixed and variable components in tariff systems?

    <p>To compare different tariff systems</p> Signup and view all the answers

    What is the unit of measurement for the tariff rate in a tariff system?

    <p>Rand</p> Signup and view all the answers

    What type of graph is obtained when the fixed amount is zero in a tariff system?

    <p>Single straight-line graph</p> Signup and view all the answers

    What is the significance of the regions between intersections in break-even analysis?

    <p>They indicate the most cost-effective option at a specific usage level.</p> Signup and view all the answers

    What do the points of intersection represent on the graph when comparing tariff systems?

    <p>The level of usage where one option becomes cheaper or more expensive than another</p> Signup and view all the answers

    What is the main purpose of identifying the points of intersection in break-even analysis?

    <p>To identify the most cost-effective option at a specific usage level.</p> Signup and view all the answers

    What is the purpose of calculating the total monthly cost for each option in tariff systems?

    <p>To compare different tariff systems</p> Signup and view all the answers

    What is the relationship between the break-even point and the cost-effectiveness of an option?

    <p>The break-even point is the point where the cost-effectiveness of two options is equal.</p> Signup and view all the answers

    What is essential to ensure when calculating the variable amount in a tariff system?

    <p>That the units used are consistent</p> Signup and view all the answers

    What is the main application of break-even analysis in school projects?

    <p>Analysing transport tariffs for school trips.</p> Signup and view all the answers

    What is the benefit of visually comparing the costs of different tariff systems using graphs?

    <p>It makes it easier to compare different tariff systems</p> Signup and view all the answers

    What is the main difference between the skills needed for drawing and interpreting graphs in break-even analysis?

    <p>The skills needed for drawing graphs are from the 'patterns, relationships and representations' section of Mathematics Literacy.</p> Signup and view all the answers

    What is the significance of accurate mathematical calculations in break-even analysis?

    <p>They are essential to determine costs and break-even points.</p> Signup and view all the answers

    What is the primary advantage of using graphs to compare tariff systems?

    <p>To visualize the relationships between different options</p> Signup and view all the answers

    In what type of project would break-even analysis be used to evaluate different service providers?

    <p>Community projects</p> Signup and view all the answers

    What is the significance of the regions between intersections in break-even analysis?

    <p>They represent the regions where one option is more cost-effective</p> Signup and view all the answers

    What skill is essential to perform accurate calculations in break-even analysis?

    <p>Performing accurate mathematical calculations</p> Signup and view all the answers

    In which context would break-even analysis be used to compare electricity or water tariffs?

    <p>Household projects</p> Signup and view all the answers

    What is the benefit of understanding the break-even point in break-even analysis?

    <p>It enables the comparison of different options at different levels of usage</p> Signup and view all the answers

    What is the primary reason for breaking down costs into fixed and variable components in tariff systems?

    <p>To calculate the total monthly cost</p> Signup and view all the answers

    What is the significance of the units used in tariff rate calculations?

    <p>They ensure accuracy in calculations</p> Signup and view all the answers

    What is the purpose of identifying the regions between intersections on the graph in tariff system comparisons?

    <p>To visualize the cost-effectiveness of each option</p> Signup and view all the answers

    What is the implication of a single straight-line graph in tariff system comparisons?

    <p>The tariff rate is constant</p> Signup and view all the answers

    What is the result of comparing different tariff systems using graphs?

    <p>Visualization of cost-effectiveness</p> Signup and view all the answers

    What is essential to ensure when calculating the total monthly cost in tariff systems?

    <p>Accurate mathematical calculations</p> Signup and view all the answers

    What is the benefit of using tariff systems in real-world applications?

    <p>They provide a structured pricing plan</p> Signup and view all the answers

    What is the relationship between the tariff rate and the total monthly cost in tariff systems?

    <p>The tariff rate is directly proportional to the total monthly cost</p> Signup and view all the answers

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