Answer :
The difference in price per passenger for a group of 16 versus a group of 10 is 0.0375 times the total cost of the trip.
What is cost price per passenger?
The cost price per passenger is the amount of money required to travel one passenger.
To find the cost price per passenger, divide the total amount of cost of the trip to the total number of passenger.
The group is trying to determine what the price difference would be per passenger if 10 of them go on the trip versus if 16 of them go on the trip.
Let suppose the total cost of the trip is x. Then the cost of per passenger, if 10 of them go on the trip, is,
[tex]C_1=\dfrac{x}{10}\\C_1=0.1x[/tex]
Now the cost of per passenger, if 16 of them go on the trip, is,
[tex]C_2=\dfrac{x}{16}\\C_2=0.0625x[/tex]
The difference between the cost is,
[tex]C_d=C_1-C_2\\C_d=0.1x-0.0625x\\C_d=0.0375x[/tex]
Thus, the difference in price per passenger for a group of 16 versus a group of 10 is 0.0375 times the total cost of the trip.
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