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MAT 194
Name_________________________
Test #2
Oct. 31, 2008
Show all work!
Answer all questions!
(1)
[9 pts]
Solve the following equations exactly for
x,
if possible. If not, find an
approximate solution (two decimal places).
(a)
3×2
x
 2
=  2
x
+ 5
(b)
3×2
5
x
+3
= 7×6
x
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[12 pts]
There were 178 million licensed drivers in the US in 1989 and 187 million
in 1999.
Find a formula for the number,
N
, of licensed drivers in the US as a function of
t
, the number of years since 1989, assuming the growth is:
(a)
linear
(b)
exponential
(c)
Assuming exponential growth, when will the number of licensed drivers reach 200
million?
[10 pts]
A very large pond has a population of frogs that grows exponentially.
The
pond begins with 15 frogs; six years later there are 270 frogs.
(a)
Give a formula for the population of frogs as a function of the time.
(b)
How long did it take for the population to double the first time?
(c)
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This note was uploaded on 12/21/2011 for the course MAT 194 taught by Professor Staff during the Fall '08 term at Syracuse.
 Fall '08
 Staff
 Equations

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