Luke wants to purchase custom-made mugs to advertise his business. Two companies offer different deals:
Company A: Pay a design fee of $40.00, plus $3.50 per mug
or Company B: Pay a design fee of $95.00, plus $2.90 per mug
(a) State a linear function f (x) that represents Company A's total charge for an order of x mugs.
(b) State a linear function g(x) that represents Company B's total charge for an order of x mugs.
(c) Luke wants to purchase 130 custom-made mugs, as cheaply as possible. With which company should he place his order? Show work/explanation.
(d) For what number of mugs is the total charge exactly the same for both companies? Show algebraic work/explanation.
(e) Fill in the blanks:
Company A is the cheaper option if ________(choose less or more) than ______ (enter number) mugs are ordered.