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20 pts) Luke wants to purchase custom-made mugs to advertise his business

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20 pts) 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.

 
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