MAC1105
024
027
Name:___________________________________
Project 1
(circle your section)
due September 20, 2011
_____________________________________________________________________________________________
Please follow all directions carefully.
Include as much relevant work as possible to ensure maximum credit.
Where explanations are requested please write legibly and use complete sentences.
_______________________________________________________________________________________________________
(18 pts) 1.
A checking account is opened and $600 is withdrawn every month.
Assume this account earns no interest.
a) After two months the value of the account is $8,400.
Let
t
represent the number of months elapsed since the account was
opened, and write a linear function
V(t)
b
mt
=
+
=
+
that computes the value of the account from the time it was opened until the
time it becomes depleted.
a)______________________
b) Complete the table and draw a relevant graph for this function.
t
V
0
2
8,400
5
10
15
0
c) Let
t*
represent the number you entered above in the last row, first column.
Explain what the statement
V(t*)
0
=
means in
the context of this situation.
d) What are the appropriate units for the slope of your linear equation?
(no numbers, just units)
d)________________________
e) Use setbuilder notation to describe the relevant domain and range of this function.
Domain:__________________
Range:____________________
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(12 pts) 2.
The population of a country has been growing between years 1990 and 2010, but the rate of growth has decreased
every year.
Let
P
represent this population as a function of time
t
.
a) Draw a graph that could represent the general shape of the
graph of P.
The graph is (circle one word from each line):
increasing
decreasing
constant
concave up
concave down
linear
b) If this growth pattern is expected to continue for at least 5
more years, and the average rate of change of
P
for the 20
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 Fall '08
 Algebra, Derivative, average rate, Cole Slaw

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