The Campus club has made decision to throw the end of semester party, given that every person who attends shares equally in expenses. A 4 person student band will play for $150 as long as they get free food and drink. Club members evaluate that average cost of drinks and food will be $2 per person.
i) Find total cost if there are 25 people at party who have to be given with food and drink (this includes band)?
ii) Find average cost per person if only 21 of 25 people are paying (since band does not pay)?
iii) Assume n people (including the band) attend party. Consider C(n) represent total cost (in dollars) of party. Determine the equation for C(n).
iv) Write the equation for A(n), average cost per person of paying guests.