Unit 3, Activity 2, Continuous Growth and the Number e with Answers
Blackline Masters, Advanced MathPreCalculus
Page 89
Comprehensive Curriculum, Revised 2008
1. In each of the following equations tell whether or not there is growth or decay and give
the continuous rate of growth or decay.
a)
A =
1000
e
0.08t
growth of 8%
b)
A
e
t
=
−
200
2
.
decay of 20%
c)
t
oo
o
e
A
4
.
4
.
2
−
=
decay of .4%
2. Write the following exponential functions in the form
P = a
t
a)
P = e
.25t
b
e
=
.25
so P = (1.28)
t
b)
P
=
e
.4t
b
e
=
−
0 4
.
so
P = (.67)
t
3. The population of a city is 50,000 and it is growing at the rate of 3.5% per year.
Find a
formula for the population of the city at time t years from now if the rate of 3.5% is:
a) an annual rate and b) a continuous annual rate.
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 Fall '08
 GERMAN
 Calculus, PreCalculus, Exponential Function, Equations, Altimeter

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