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
a. $22.00
b. $40.91
c. 1,320.00
d. 21.29
We can set up the inverse proportion as:
cost per person = k/number of people
where k is the constant of variation. We can find k by using the given information:
$30 per person = k/44
k = $30 x 44
k = $1,320
Now we can use k to find the cost per person if 60 people go on the trip:
cost per person = 1320/60
cost per person = $22.00
Therefore, the answer is (a) $22.00.
To determine the cost per person when 60 people go on the trip, we can use the inverse variation formula.
Let x represent the cost per person and y represent the number of people. We know that when 44 people go on the trip, the cost per person is $30.
According to the inverse variation formula, we have:
xy = k
Where k is a constant. Plugging in the given values, we get:
30 * 44 = k
k = 1320
Now we can find the cost per person when 60 people go on the trip:
x * 60 = 1320
x = 1320 / 60
x ≈ 22.00
Therefore, the cost per person when 60 people go on the trip is approximately $22.00.
The answer is a. $22.00.