Question

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.

Answer 1

The cost per person if 20 people go on the trip will be $1.5/person.

Step-by-step explanation:

If the number of people going on the trip is n and the cost per person for this trip is c, then given that c ∝ 1/n

⇒ cn = constant(k) ............... (1)

Now, given that the cost for 44 people go on the trip is $30 per person.

So, n = 44 and c = $\frac{30}{44} = 0.68$ (Approx.)

So, k = 44 × 0.68 = 30

Now, for n = 20, the relation becomes 20c = 30

⇒ c = 1.5 dollars per person.

Therefore, the cost per person if 20 people go on the trip will be $1.5/person. (Answer)

Answer 2

Answer:

Step-by-step explanation: