Hey nycmath.
Hint: Total cost is a function of all costs. Cost(band) = 650, Cost(dec) = 45, Cos(ref) = 2.20*persons. Total cost = Sum of all individual costs.
The Beta club plans a dance as a fund raiser. The band costs $650, decorations cost $45, and the refreshments costs $2.20 per person. The admissions tickets are $6 each.
Find:
a) The linear cost function
b) The linear revenue function
c) The linear profit function
d) How many tickets must be sold to break even?
e) How many tickets must be sold to clear $700?
Hint for d: Breaking even means total costs = total revenue (the money you collect from customers). How much does it cost one person to get in? What are the total costs as a function of the number of people? Take those and equate them together and solve for the value of persons.