Question
Mathematics Question on Introduction to Graphs
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.
- How high was Plant A after (i) 2 weeks (ii) 3weeks?
- How high was Plant B after (i) 2 weeks (ii) 3weeks?
- How much did Plant A grow during the 3rd week?
- How much did Plant B grow from the end of the 2nd week to the end of the 3rd week?
- During which week did Plant A grow most?
- During which week did Plant B grow least?
- Were the two plants of the same height during any week shown here? Specify.
(a)
(i) After 2 weeks, the height of plant A was 7 cm.
(ii) After 3 weeks, the height of plant A was 9 cm.
(b)
(i) After 2 weeks, the height of plant B was 7 cm.
(ii) After 3 weeks, the height of plant B was 10 cm.
(c) Growth of plant A during 3rd week = 9cm−7cm = 2 cm
(d) Growth of plant B from the end of the 2nd week to the end of the 3rd week
= 10cm−7cm=3cm
(e) Growth of plant A during 1st week = 2cm−0cm=2cm
Growth of plant A during 2nd week = 7cm−2cm=5cm
Growth of plant A during 3rd week = 9cm−7cm=2cm
Therefore, plant A grew the most, i.e. 5 cm, during the 2nd week.
(f) Growth of plant B during 1st week = 1cm−0cm=1cm
Growth of plant B during 2nd week = 7cm−1cm=6cm
Growth of plant B during 3rd week = 10cm−7cm=3cm
Therefore, plant B grew the least, i.e. 1 cm, during the 1st week.
(g) At the end of the 2nd week, the heights of both plants were same.