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 to 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.
We can use the formula for inverse variation:
y = k/x
where y is the cost per person, x is the number of people, and k is a constant of proportionality.
We can find k by using the given information that it will cost $30 per person if 44 people go on the trip:
30 = k/44
k = 1320
Now we can use this value of k to find the cost per person if 20 people go on the trip:
y = 1320/20
y = 66
Therefore, it will cost $66 per person if 20 people go on the trip.
since xy is constant, you want y such that
20y = 30*44
y = 66
To find the cost per person, we can set up an inverse variation equation. Let x represent the number of people going on the trip and y represent the cost per person.
We are given that the cost per person varies inversely with the number of people, so we can write the equation as:
y = k/x
where k is the constant of variation.
We know that when 44 people go on the trip, the cost per person is $30. Substituting these values into the equation, we get:
30 = k/44
To find the value of k, we need to solve for it. We can do this by multiplying both sides of the equation by 44:
30 * 44 = k
k = 1320
Now that we know the value of k, we can use the equation to find the cost per person when 20 people go on the trip:
y = 1320/20
y ≈ $66
Therefore, the cost per person will be approximately $66 if 20 people go on the trip.
To find the cost per person if 20 people go on the trip, we need to determine the inverse variation relationship between the number of people and the cost per person.
We can use the formula for inverse variation: y = k/x, where y represents the cost per person and x represents the number of people.
Given that the cost per person is $30 when 44 people go on the trip, we can substitute these values into the formula:
30 = k/44.
To solve for k, we can multiply both sides of the equation by 44:
30 * 44 = k.
k = 1320.
Now that we have the constant of variation, k, we can substitute it back into the formula to find the cost per person when 20 people go on the trip:
y = k/x
y = 1320/20
y = 66.
Therefore, the cost per person if 20 people go on the trip is $66.