
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 $3^{rd}$ week?
D. How much did plant B grow from the end of the $2^{nd}$ week to the end of the $3^{rd}$ 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?
Answer
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Hint: Given the graph of the observation of two plants A and B in a laboratory under similar condition for 3 weeks. The heights of both plants measured in cm is given in the graph for every week. In order to answer the questions of the above given graph we have to carefully observe the height of both the plants in each week and do the necessary calculations.
Complete step-by-step solution:
Solving each problem by observing the graph carefully.
A) How high was plant A after (i) 2 weeks (ii) 3 weeks?
(i) The height of plant A after 2 weeks is 7 cm.
(ii) The height of plant A after 3 weeks is 9 cm.
B) How high was plant B after (i) 2 weeks (ii) 3 weeks?
(i) The height of plant B after 2 weeks is 7 cm.
(ii) The height of plant B after 3 weeks is 10 cm.
C) How much did plant A grow during the $3^{rd}$ week?
To find how much did plant A grow in the duration of the $3^{rd}$ week, it is obtained by the difference of the height gained by plant A after 3 weeks and the height after 2 weeks.
$ \Rightarrow 9 - 7 = 2$cm
$\therefore $The plant A grew 2 cm during the $3^{rd}$ week.
D) How much did plant B grow from the end of the $2^{nd}$ week to the end of the $3^{rd}$ week?
This is the same as finding as how much did plant B grow during the $3^{rd}$ week, which is obtained by the difference of the height gained by plant B after 3 weeks and the height after 2 weeks, which is given by:
$ \Rightarrow 10 - 7 = 3$cm
$\therefore $The plant B grew 3 cm from the end of the $2^{nd}$ week to the end of the $3^{rd}$ week.
E) During which week did plant A grow most?
During the $1^{st}$ week the plant A grew most from 0cm to 1cm.
F) During which week did plant B grow least?
During the $1^{st}$ week the plant B grew from 0cm to 0.5cm.
G) Were the two plants of the same height during any week shown here? Specify?
Yes, the two plants A and B attained the same height of 7cm during the $2^{nd}$ week.
Note: Here observe carefully that the plant A grew faster till 2 weeks whereas the plant B grew a bit slower than the plant A, but reached the same height at the end of $2^{nd}$ week and from then grew faster than plant A in the $3^{rd}$ week, whereas plant A lacked behind plant B in the $3^{rd}$ week.
Complete step-by-step solution:
Solving each problem by observing the graph carefully.
A) How high was plant A after (i) 2 weeks (ii) 3 weeks?
(i) The height of plant A after 2 weeks is 7 cm.
(ii) The height of plant A after 3 weeks is 9 cm.
B) How high was plant B after (i) 2 weeks (ii) 3 weeks?
(i) The height of plant B after 2 weeks is 7 cm.
(ii) The height of plant B after 3 weeks is 10 cm.
C) How much did plant A grow during the $3^{rd}$ week?
To find how much did plant A grow in the duration of the $3^{rd}$ week, it is obtained by the difference of the height gained by plant A after 3 weeks and the height after 2 weeks.
$ \Rightarrow 9 - 7 = 2$cm
$\therefore $The plant A grew 2 cm during the $3^{rd}$ week.
D) How much did plant B grow from the end of the $2^{nd}$ week to the end of the $3^{rd}$ week?
This is the same as finding as how much did plant B grow during the $3^{rd}$ week, which is obtained by the difference of the height gained by plant B after 3 weeks and the height after 2 weeks, which is given by:
$ \Rightarrow 10 - 7 = 3$cm
$\therefore $The plant B grew 3 cm from the end of the $2^{nd}$ week to the end of the $3^{rd}$ week.
E) During which week did plant A grow most?
During the $1^{st}$ week the plant A grew most from 0cm to 1cm.
F) During which week did plant B grow least?
During the $1^{st}$ week the plant B grew from 0cm to 0.5cm.
G) Were the two plants of the same height during any week shown here? Specify?
Yes, the two plants A and B attained the same height of 7cm during the $2^{nd}$ week.
Note: Here observe carefully that the plant A grew faster till 2 weeks whereas the plant B grew a bit slower than the plant A, but reached the same height at the end of $2^{nd}$ week and from then grew faster than plant A in the $3^{rd}$ week, whereas plant A lacked behind plant B in the $3^{rd}$ week.
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