Answer:
Class 11
>>Applied Mathematics
>>Straight lines
>>Slope of a line
>>Consider the following population and ye
Question
Bookmark
Consider the following population and year graph, find the slope of the line AB and using it, find what will be the population in the year 2010?
418882
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Easy
Solution
verified
Verified by Toppr
Since line AB passes through point A(1985,92) and B(1995,97), its slope is
1995−1985
97−92
=
10
5
=
2
1
.
Now, let y be the population in the year 2010. Then according to the given graph line AB must pass through point C(2010,y).
∴ slope of AB = slope of BC
⇒
2
1
=
2010−1995
y−97
⇒
2
1
=
15
y−97
⇒
2
15
=y−97
⇒ y−97=7.5
⇒ y=7.5+97=104.5
Thus, the slope of line AB is
2
1
, while in the year 2010 the population will be 104.5 crores.
Step-by-step explanation:
Class 11
>>Applied Mathematics
>>Straight lines
>>Slope of a line
>>Consider the following population and ye
Question
Bookmark
Consider the following population and year graph, find the slope of the line AB and using it, find what will be the population in the year 2010?
418882
expand
Easy
Solution
verified
Verified by Toppr
Since line AB passes through point A(1985,92) and B(1995,97), its slope is
1995−1985
97−92
=
10
5
=
2
1
.
Now, let y be the population in the year 2010. Then according to the given graph line AB must pass through point C(2010,y).
∴ slope of AB = slope of BC
⇒
2
1
=
2010−1995
y−97
⇒
2
1
=
15
y−97
⇒
2
15
=y−97
⇒ y−97=7.5
⇒ y=7.5+97=104.5
Thus, the slope of line AB is
2
1
, while in the year 2010 the population will be 104.5 crores.