Linear Functions

Question

A sports team is throwing an end-of-season party at the fitness club. The costs associated with the party include a $120 flat fee for the room rental, and a $11.95 per person charge for the Italian buffet. A 17% tip must be added to the cost of the food. Express the total cost for the party as a function of the number of people attending. Graph this function in an appropriate window, labeling axes and scale. If the budget for the party is $1745, how many people can attend?

Answer 1

Can't help you with the actual graphing, but the function would be f(x) = 11.95x + 120 where x is the number of people attending.

With an upper limit of 1745, 1745 ≥ 11.95x + 120 -> 1625 ≥ 11.95x -> 135.98 ≥ x

Since you can't have a fractional person, you can have at most 135 people at a cost of 1737.30