Math 112 Final Exam Study Aid Worksheet With Answer Key Page 10
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39Math 112
Final Exam Study Aid
10 of 39
28. A certain class has 9 quizzes throughout the semester. A student has an average of
A on the first six quizzes. If the student then has an average of B on the last three
quizzes, determine the students average on all 9 quizzes.
A + B
6A + 3B
A + B
6A + 3B
(A)
(B)
(C)
(D)
(E) None of these
2
2
9
9
29. The conversion rate between kilograms and pounds is about 2.2 pounds per kilogram.
That is, if a person weighs 100 kilograms, they would weigh about 220 pounds. Let
k represent the weight of an object in kilograms, and let p represent the weight in
pounds. Express k as a function of p.
k
(A) k(p) = 2.2 + p
(B) p(k) =
(C) k(p) = 2.2p
2.2
p
(D) p(k) = 2.2k
(E) k(p) =
2.2
Consider the following problem: In 2000 Joe bought a BMW for $40,000; it depreciates
$4,000 each year. Tom bought a classic ’57 Chevy for $10,000 and it appreciates $1,000
each year. Use this information to answer the next TWO questions.
30. Write a system of equations for the values (V ) of these cars in terms of the number of
years (t). [t = 0 is 2000]
(A) BMW : V = 40, 000
4000t
(B)
BMW: V = 40, 000 + 4000t
Chevy: V = 10, 000 + 1000t
Chevy: V = 10, 000
1000t
(C) BMW : V = 40, 000
t
(D) BMW: V = t + 40, 000
Chevy: V = 10, 000 + t
Chevy: V = t + 10, 000
(E)
None of these
31. How many years must pass before the values of both cars are equal? The answer is a
number:
(A) between 1 and 5
(B) between 5 and 10
(C) more than 10
(D) never equal
(E) None of these
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