An organization is holding an event including a dinner. Two local companies offer different deals: A-One Catering: Pay a fixed fee of $530.00, plus...

An organization is holding an event including a dinner. Two local companies offer different deals:

A-One Catering: Pay a fixed fee of $530.00, plus $14.00 per meal or Best Events, Inc.: Pay a fixed fee of $800.00, plus $9.00 per meal

(a) State a linear function f (x) that is A-One Catering 's total charge for an event with x meals.

(b) State a linear function g(x) that is Best Events, Inc.'s total charge for an event with x meals.

(c) The organization expects 35 guests to be served meals, and wants to cut costs as much as possible. Which event company should the organization choose? Show work/explanation.

(d) For what number of meals is the total charge exactly the same for both event companies? Show algebraic work/explanation to solve for the answer.