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Question

For an experiment in Botany two different plants, plant A and plant B were grown under similar laboratory conditions. The heights were measured at the end of each week for 3 weeks. The results are shown by the following graph.
(a) How high was Plant A after (i) 2 weeks (ii) 3 weeks?
(b) How high was Plant B after (i) 2 weeks (ii) 3 weeks?
(c) How much did Plant A grow during the 3rd week?
(d) How much did Plant B grow from the end of the 2nd week to the end of the 3rd week?
(e) During which week did plant A grow most?
(f) During which week did plant B grow least?
(g) Were the two plants of the same height during any week shown here? Specify.
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Solution

In the graph xaxis represents weeks and yaxis represents the heights of the plant.

Scale :
On xaxis 7 cm =1 week
On yaxis 1 cm =1 cm in height

To find the height of plant at particular week:
Trace the vertical line parallel to yaxis passing from the point on xaxis, find the point where this vertical line intersects the graph.
Now from that point trace a horizontal line parallel to xaxis, this line intersects the yaxis at required point.

To find the week at particular height:
Trace the horizontal line parallel to xaxis passing from the height point on y-axis, find the point where this horizontal line intersects the graph.
Now from that point trace a vertical line parallel to yaxis, this line intersects the xaxis at required point.

Now,
a) Follow step 1 on graph for plant A at point i) 2 weeks and ii) 3 weeks, we get corresponding heights on y axis, 7 cm for 2 weeks and 9 cm for 3 weeks.

b) Follow step 1 on graph for plant B at point i) 2 weeks and ii) 3 weeks, we get corresponding heights on y axis, 7 cm for 2 weeks and 10 cm for 3 weeks.

c) To find grow during 3rd week, we have to find the height difference between 2nd and 3rd week, which is 9 cm 7 cm =2 cm

d) To find grow of plant B from end of 2nd week to end of 3rd week, we have to find height difference between 3rd and 2nd week, 10 cm 7 cm =3 cm

e) Find the grow of height level of plant A weekwise
1st week: 1 cm 0 cm =1 cm
2nd week: 7 cm 1 cm =6 cm
3rd week: 9 cm 7 cm =2 cm
so plant A grows on 2nd week the most

f) Find the grow of plant B week-wise
1st week: 2 cm 0 cm =2 cm
2nd week: 7 cm 2 cm =5 cm
3rd week: 10 cm 7 cm =3 cm
so plant B grow least on week 1st

g) Graphs of plant A and plant B intersects at (2nd week and 7 cm height), so plants were in same height which is 7 cm.

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