Math 112 Final Exam Study Aid Worksheet With Answer Key Page 9
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39Math 112
Final Exam Study Aid
9 of 39
23. Express the area of a rectangle AS A FUNCTION OF ITS WIDTH if the width is
25% of its length. Let L and W represent length and width, respectively.
(A) A = (0.25W )(W )
(B) A = (0.75W )(W )
(C) A = (4W )(W )
(D) A = 4LW
(E) None of these
For the next three questions consider the following situation: Chad is designing a
rectangular cereal box. His boss says that the box should be half as wide as it is tall,
and the depth should be one half of the width.
24. Determine a model which gives the surface area, S, of the cereal box in terms of its
height, h.
3
17
h
7
2
2
(A) S(h) =
h
(B) S(h) =
(C) S(h) =
h
4
8
4
7
2
2
(D) S(h) =
h
(E) S(h) = 28h
8
25. Determine a model for the volume of the cereal box in terms of its depth, d.
3
d
3
2
(A) V (d) = d
(B) V (d) =
(C) V (d) = 2d
8
3
(D) V (d) = 8d
(E) None of these
26. Determine a model for the surface area of the cereal box in terms of its width, w.
2
2
2
(A) S(w) = 8w
(B) S(w) = 7w
(C) S(w) = w
2
(D) S(w) = 4w
(E) None of these
27. A couple invests $3500 to build a rose garden. On the average, it costs them $0.35 to
grow each rose. If each rose can be sold for $1.75, how many roses must they sell to
break even?
(A) 2,000
(B) 2,500
(C) 10,000
(D) 8,250
(E) None of these
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