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Math 1100 006
§12.3 Exponential and Logarithmic Functions Homework Worksheet
Answer the questions in the spaces provided. If you run out of room for an
answer, you may attach additional sheets of paper. You must show all of
your work to receive full points. Staple this worksheet to the rest of the
assignment.
Name:
1. A store finds that, in the first 100 days after the end of an advertising campaign, its
daily sales decline at the rate
S’(t)
=
_147.78e~~2t
0 ≤ t ≤ 100,
where t is the number of days since the end of the campaign.
-
(a) Find a family of functions that could describe the daily sales
of the campaign.
.
it
days after the end
-
S(-t)z
~
uc~ -o.z~
C-i~fl_7~
(‘I
~3~9e
e
~0.2d1
H
act
±6 (ij,cin-e)
tC
(b) Suppose that the store’s daily sales on the last day of the campaign were $7389.00.
Find the sales function.
S(o)~ ~3S9
Do
-v.a/c)
?-3R1= 9-3S1+c
(1p01¼*
c=
&~0
1 ~
(c) Use your answer to part (b) to find the total sales 10 days after the end of the
advertising campaign.
14YDIvt~-
Cc ntjth~&&in
p~ to~aJ
±è~~
a~ai
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