Example #1 (Sound Intensity): The relationship between the
number of decibels B and the intensity of a sound I in watts per
centimeter squared is given by: Determine the intensity of a
sound I if it registers 125 decibels on a decibel meter. In
examples #2 and 3, compare the intensities of the two
earthquakes. |San Francisco, CA||4/18/1906||8.3| Formula: R =
log10I, where I is the intensity of the shockwave and R is the
magnitude of an earthquake. Example #4 (Human Memory Model): The
average score A for a group of students who took a test t months
after the completion of a course is given by the human memory
model: A = 80 - log10(t + 1)12 How long after completing the
course will the average score fall to A = 72? Example #5
(Newton's Law of Cooling): You place a tray of water at 60oF in
a freezer that is set at 60°F. The water cools according to
Newton's Law of Cooling: a) The water freezes in 4 hours. What
is the constant k? (Hint: Water freezes at 32°F.) b) You lower
the temperature in the freezer to -10°F.