The present heights of two saplings P and Q are shown below.
5
Height (cm)
N
P
o
Sapling P grows 0. 5 cm daily and Q grows 1. 5 cm daily. What will be their
relative heights after 2 days?
Answers
Step-by-step explanation:
In the graph x−axis represents weeks and y−axis represents the heights of the plant.
Scale :
On x−axis 7 cm =1 week
On y−axis 1 cm =1 cm in height
To find the height of plant at particular week:
Trace the vertical line parallel to y−axis passing from the point on x−axis, find the point where this vertical line intersects the graph.
Now from that point trace a horizontal line parallel to x−axis, this line intersects the y−axis at required point.
To find the week at particular height:
Trace the horizontal line parallel to x−axis 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 y−axis, this line intersects the x−axis 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 3
rd
week, we have to find the height difference between 2
nd
and 3
rd
week, which is 9 cm −7 cm =2 cm
d) To find grow of plant B from end of 2
nd
week to end of 3
rd
week, we have to find height difference between 3
rd
and 2
nd
week, 10 cm −7 cm =3 cm
e) Find the grow of height level of plant A weekwise
1
st
week: 1 cm −0 cm =1 cm
2
nd
week: 7 cm −1 cm =6 cm
3
rd
week: 9 cm −7 cm =2 cm
so plant A grows on 2
nd
week the most
f) Find the grow of plant B week-wise
1
st
week: 2 cm −0 cm =2 cm
2
nd
week: 7 cm −2 cm =5 cm
3
rd
week: 10 cm −7 cm =3 cm
so plant B grow least on week 1
st
g) Graphs of plant A and plant B intersects at (2
nd
week and 7 cm height), so plants were in same height which is 7 cm.