Logarithms And Logarithmic Functions Worksheet With Answers Page 17
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27Find the values of S(3), S(15), and S(63).
b. Interpret the meaning of each function value in the
context of the problem.
c. Graph the function.
7-3 Logarithms and Logarithmic Functions
d. Use the graph in part c and your answers from
part a to explain why the money spent in advertising
becomes less “efficient” as it is used in larger
56.
amounts.
SOLUTION:
SOLUTION:
a.
The function represents a transformation of the
Substitute 3 for a in the equation and simplify.
graph of
.
a =
: The graph is reflected across the x-axis.
h = –2: The graph is translated 2 units to the left.
Substitute 15 for a in the equation and simplify.
k = –5: The graph is translated 5 units down.
Substitute 63 for a in the equation and simplify.
b. If $3000 is spent on advertising, $30,000 is
returned in sales. If $15,000 is spent on advertising,
$50,000 is returned in sales. If $63,000 is spent on
ANSWER:
advertising, $70,000 is returned in sales.
c.
The function represents a transformation of the
graph of
.
a = 20: The graph is expanded vertically.
h = –1: The graph is translated 1 unit to the left.
k = 10: The graph is translated 10 units up.
57. CCSS MODELING In general, the more money a
company spends on advertising, the higher the sales.
The amount of money in sales for a company, in
thousands, can be modeled by the equation S(a) = 10
+ 20 log
(a + 1), where a is the amount of money
4
spent on advertising in thousands, when a ≥ 0.
a. The value of S(0) ≈ 10, which means that if $10 is
spent on advertising, $10,000 is returned in sales.
Find the values of S(3), S(15), and S(63).
b. Interpret the meaning of each function value in the
context of the problem.
c. Graph the function.
d. Use the graph in part c and your answers from
part a to explain why the money spent in advertising
d.
becomes less “efficient” as it is used in larger
Because eventually the graph plateaus and no matter
eSolutions Manual - Powered by Cognero
Page 17
amounts.
how much money you spend you are still returning
about the same in sales.
SOLUTION:
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education