Question

5.1.2 Exam: Semester 2 Exam

Question 16 of 35
5 Points
The Sumner High School Biology Club is planning a trip to Yosemite National
Park. The trip will cost $200 per club member plus a $1000 deposit. Which of
the following graphs models the total average cost of the trip per club
member?

Answer 1

See attached picture to view the graph

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:
`f(x) = (1000+200x)/(x)`

Plot such function in the two dimensional plane, and you will get the asymptotic behavior shown in the attached image.