Math 112 Final Exam Study Aid Worksheet With Answer Key Page 38
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39Math 112
Final Exam Study Aid
38 of 39
133. An object which is initially at a temperature of 100 F is placed in a room which is at
a constant temperature of 60 F. Given that the rate of change is r =
0.05 when t is
measured in minutes, determine how long it will take the object to cool to a tempera-
ture of 70 F.
rt
Recall that Newton’s Law of Cooling is A(t) = C + (A
C)e
.
0
(A) 61.2 minutes
(B) 1.4 minutes
(C) 26.3 minutes
(D) 27.7 minutes
(E) None of these
134. The release of fluorocarbons used in household sprays destroys the ozone layer in the
0.0025t
upper atmosphere. Suppose the amount of ozone is given by P = Ce
where t is
measured in years. How long will it take for 70% of the ozone to disappear? (Round
to the nearest yr.)
(A) About 143 yrs. (B) About 1699 yrs. (C) About 1360 yrs.
(D) About 482 yrs. (E) None of these
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