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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.
Answer

$22.00

$40.91

$1,320.00

$21.29

Question

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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.
Answer
		
$22.00
		
$40.91
		
$1,320.00
		
$21.29

pfenn1 · Answer

If the cost per person varies inversely as the number of people.  Let x=the number of people and y=the cost per person.  We know$$y=\frac{k}x$$where k is a constant.  We know that y=30 when x=44.  So plug these numbers into the equation and solve for k.  What do you get?

anonymous · Answer

multiply right

anonymous · Answer

1,320.00

pfenn1 · Answer

Correct. k=1320.  So now our equation is $$y=\frac{1320}{x}$$So how much will it cost per person if 60 people go on the trip.