Math 112 Final Exam Study Aid Worksheet With Answer Key Page 23

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Math 112
Final Exam Study Aid
23 of 39
75. For the years 1975 through 1990, the average price, p (in dollars per million British
thermal units), of fuel used to generate electricity in the U.S. can be modeled by the
function
2
p(t) =
0.021t
+ 0.50t
1.04
where t is time in years since 1970. Estimate the maximum average price, p, of fuel
used according to this model.
(A) $11.9 per million Btu
(B) $1.94 per million Btu
(C) $2.1 per billion Btu
(D) $10.2 per million Btu
(E) None of these
76. A rancher wishes to enclose two adjacent rectangular corrals such that the right-hand
corral has twice the length of the left hand (see diagram). She has 900 feet of fencing.
What is the maximum area she can enclose?
(A) 22,500 sq. ft.
(B) 50,625 sq. ft.
(C) 62,500 sq. ft.
(D) 67,500 sq. ft.
(E) None of these
5
77. Find the following sum:
(4k
7)
k=3
(A)
1
(B) 18
(C) 25
(D) 27
(E) None of these
4
78. Find the following sum:
(kx + 3)
k=1
(A) 11
(B) 22
(C) 4x + 3
(D) 5x + 6
(E) 10x + 12

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