Answer:
See attached picture to view the graph
Step-by-step explanation:
Start by analyzing how this average idea works:
If only one member goes to the trip, it will cost him/her $1000+$200 = $1200.
If two members go to the trip, then they will share the cost as per the following: ($1000+ $200 + $200 = $1400) which they will be dividing into two people, thus costing each of them $700.
Notice that the general function that represents such average will be given by:
Plot such function in the two dimensional plane, and you will get the asymptotic behavior shown in the attached image.
For this case we have the following quadratic functions:
Revenue:
Cost:
Then, we observe that the profit is given by the following mathematical relationship:
Substituting values we have:
Making the corresponding calculations we have:
Answer:
An expression that represents the profit is: