Math
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 it days after the end of the campaign.
.
-
S(-t)z
(‘I
C-i~fl_7~
~
~0.2d1
H
~3~9e tC ±6 (ij,cin-e)
(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
-v.a/c)
(1p01¼*
?-3R1= 9-3S1+c c=
&~0
1 ~
(c) Use your answer to part (b) to find the total sales 10 days after the end of the advertising campaign.
±è~~
p~ to~aJ a~ai