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For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of

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Question

For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the following graph.

  1. How high was Plant A after (i) 2 weeks (ii) 3 weeks?
  2. How high was Plant B after (i) 2 weeks (ii) 3 weeks?
  3. How much did Plant A grow during the 3rd week?
  4. How much did Plant B grow from the end of the 2nd week to the end of the 3rd week?
  5. During which week did Plant A grow most?
  6. During which week did Plant B grow least?
  7. Were the two plants of the same height during any week shown here? Specify.
Graph
Short Answer
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Solution


    1. After 2 weeks, the height of plant A was 7 cm.
    2. After 3 weeks, the height of plant A was 9 cm.

    1. After 2 weeks, the height of plant B was 7 cm.
    2. After 3 weeks, the height of plant B was 10 cm.
  1.  
    1. Growth of plant A during 3rd week = 9 cm − 7 cm = 2 cm

    1. Growth of plant B from the end of the 2nd week to the end of the 3rd week
    2. = 10 cm − 7 cm = 3 cm

    1. Growth of plant A during 1st week = 2 cm − 0 cm = 2 cm.
    2. Growth of plant A during 2nd week = 7 cm − 2 cm = 5 cm.
    3. Growth of plant A during 3rd week = 9 cm − 7 cm = 2 cm
    4. Therefore, plant A grew the most, i.e. 5 cm, during the 2nd week.

    1. Growth of plant B during 1st week = 1 cm − 0 cm = 1 cm.
    2. Growth of plant B during 2nd week = 7 cm − 1 cm = 6 cm.
    3. Growth of plant B during 3rd week = 10 cm − 7 cm = 3 cm.
    4. Therefore, plant B grew the least, i.e. 1 cm, during the 1st week.
  2. At the end of the 2nd week, the heights of both plants were same.
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Chapter 13: Introduction to Graphs - EXERCISE 13.1 [Page 161]

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NCERT Mathematics [English] Class 8
Chapter 13 Introduction to Graphs
EXERCISE 13.1 | Q 3. | Page 161

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