a drama club is panning 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 if 55 people go on the trip? Round your answer to the nearest cent, if necessary.

Answer 1

Let x be the cost per person if 55 people go on the trip. Then, we know that:

30 = k/44

where k is the constant of proportionality. We can solve for k by cross-multiplying:

30 * 44 = k

k = 1320

Now, we can use k to find x:

x = k/55

x = 1320/55

x ≈ 24

Therefore, it will cost approximately $24 per person if 55 people go on the trip.

Answer 2

are your sure

Answer 3

Yes, the answer is correct. If you take the cost per person as $24 and multiply it by 55 (number of people going on the trip), you will get the total cost as $1320, which is the same as the total cost when there are 44 people going on the trip at a cost of $30 per person. This confirms that the cost per person varies inversely with the number of people going on the trip.