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 20 people go on the trip? Round your answer to the nearest cent, if necessary. (1 point)
Responses
$33.50
$33.50
$44.00
$44.00
$22.00
$22.00
$66.00
$55.00
To solve this problem, we can set up an inverse variation equation:
y = k/x
where y is the cost per person, x is the number of people going on the trip, and k is the constant of variation.
We can plug in the values from the problem to find k:
30 = k/44
k = 30 * 44
k = 1320
Now we can plug in the new number of people (20) to find the cost per person:
y = 1320/20
y = 66
Therefore, it will cost $66 per person if 20 people go on the trip.