Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Find the point(s) of intersection of  and y = 1. Round to the nearest
hundredth. a. | (5, 1), (–5, 1) | c. | (0.45, 1), (–0.45, 1) | b. | (2.24, 1),
(–2.24, 1) | d. | (0.2, 1),
(–0.2, 1) |
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Short Answer
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2.
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A drama club is planning a bus trip to New York City to see a Broadway play. The
cost per person for the bus rental varies inversely as the number of people going on the trip. It
will cost $30 per person if 44 people go on the trip. How much will it cost per person if 60 people
go on the trip? Round your answer to the nearest cent, if necessary.
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3.
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Suppose that y varies jointly with w and x and inversely
with z and y = 360 when w = 8, x = 25 and z = 5. Write the
equation that models the relationship. Then find y when w = 4, x = 4 and
z = 3.
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4.
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Designer Dolls, Inc., found that the number N of dolls sold varies
directly with their advertising budget A and inversely with the price P of each doll.
The company sold 1800 dolls when $34,000 was spent on advertising and the price of a doll was set at
$25. Determine the number of dolls sold when the amount spent on advertising is increased to $42,000.
Round to the nearest whole number.
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5.
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The amount of oil used by a ship traveling at a uniform speed varies jointly
with the distance and the square of the speed. The ship uses 30 barrels of oil in traveling 85 miles
at 42 mi/h. How many barrels of oil are used when the ship travels 26 miles at 54 mi/h? Round your
answer to the nearest tenth of a barrel, if necessary.
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6.
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If m varies directly as the square root of y, inversely as  ,
and directly as n, what happens to m when y is quadrupled, p is tripled,
and n is tripled?
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7.
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Write an equation for the translation of  that has the asymptotes
x = 7 and y = 6.
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