Exponential Functions and Logarithmic Functions, assignment help

Please complete the following questions. It is important that you show all work you did to solve the problems when you submit your work. This includes any calculations, diagrams, or graphs that helped you solve it.

1. OPEN ENDED Give an example of a value of b for which y = bx represents exponential decay.
2. Writing in Math Use the information about Women’s basketball on page 498 to explain how an exponential function can be used to describe the teams in a tournament. Include an explanation of how you could use the equation y = 2x to determine the number of rounds of tournament play for 128 teams and an example of an inappropriate number of teams for a tournament.
3. Writing in Math Use the information about sound on page 529 to explain how a logarithmic scale can be used to measure sound. Include the relative intensities of a pin drop, a whisper, normal conversation, kitchen noise, and a jet engine written in scientific notation. Also include a plot of each of these relative intensities on the scale below and an explanation as to why the logarithmic scale might be preferred over the scale below.

GET READY for the Lesson
The NCAA women’s
basketball tournament
2006 NCAA Women’s Tournament
begins with 64 teams
2006 NCAA
and consists of 6
UNC
-Duke
rounds of play. The
MIDEAST UNC
Duke
EAST
winners of the first
round play against Tennessee
Maryland
-U Conn
each other in the
second round. The
Maryland
winners then move
Utah
from the Sweet
LSU
Duke
Sixteen to the Elite
WEST -Maryland
LSU MIDWEST
Eight to the Final
Four and finally to the
Maryland
Stanford
Championship Game.
The number of teams
y that compete in a tournament of x rounds is y = 24.
GET READY for the Lesson
Many scientific measurements have such an enormous range of
possible values that it makes sense to write them as powers of 10 and
simply keep track of their exponents. For example, the loudness of
sound is measured in units called decibels. The graph shows the
relative intensities and decibel measures of common sounds.
Sound
RR
Relative
Intensity
10°
102
10
10
10
HA
+
Decibels
0
20
40
60
80
10 102
+++
100
120
noisy
kitchen jet engine
pin
drop
whisper
(4 feet)
normal
conversation
The decibel measure of the loudness of a sound is the exponent or
logarithm of its relative intensity multiplied by 10.