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Standard XII
Mathematics
Average Rate of Change
The populatio...
Question
The population of city increases at rate proportional to the population at that time if the population of city increases from 20 lacks, the population after 15 years.
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Solution
Population
α
time
∴
P
=
k
t
P
1
=
k
t
1
and
P
2
=
k
t
2
∴
P
1
t
1
=
P
2
t
2
∴
P
1
t
2
=
P
2
t
1
Let the time now be
1
,
Then, population after
15
years
=
t
2
be
20
,
00
,
000
×
15
=
P
2
×
1
∴
P
2
=
3
,
00
,
00
,
000
.
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