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| PAGE: 167 | SET: Exercises | PROBLEM: 34 |
If an initial quantity 
grove or decays at an exponential rate 
or 
, then the final amount 
after a time 
is given by the following formula 
.
(a)
Find exponential equation for 
.
Growth rate of inflation between 
and .
So the time period is 
.
CPI in 
was 
and 
was 
.
Substitute 
, 
and 
in 
.
.
Exponential equation is 
.
(b)
Find the CPI in 
.
Growth rate of inflation between and 
.
So the time period is 
.
.
Find when CPI exceeds 350.
Apply logarithm on each side.
.
CPI exceeds after 
years, so CPI exceeds after 
.
(a) Exponential equation is 
.
(b)
CPI in is 
.
CPI exceeds after years.
|
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