Document? War a Design Layout References Mailings Review ViewHelp 120 pts) Luke

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Document? War a Design Layout References Mailings Review ViewHelp 120 pts) Luke wants to purchase custom-made mugs to advertise his business. Two companies ofer di deats Company A: Pay a design tee of $42.00, plus $4.40 per mug or Company 8: Pay a design fee of $105.00, plus 53 20 per mug ial State a linear furction (x) that represents Company A's total charge for an order of x mugs ib) State a tinear function g/x) that represents Company B's total charge for an order of x mug tci tuke wants to purchase 120 custom made mugs as chesply as passible. With which company should he place his order Show workfexplanation? Show work/explanation di For what r,mber or mugs is the tota! change mactly the same for both companies? show algebraic workfexplanati el Finhe blanks Company A is the cheaper option ithoose less or morel than mugs are ordered enter nu

Explanation / Answer

company A = $ 42 + $ 4.40 per mug

linear function f(x) for company A is

a) f(x) = 4.40 x + 42

company B = $ 105 + $ 3.20 per mug

b) g(x) = 3.20 x + 105

c) for 120 custom made mugs

f(x) = 4.40 (120) + 42

= $ 570

g(x) = 3.20 (120) + 105

= $ 489

so, he should place order with company B

d) setting f(x) = g(x)

4.40 x + 42 =  3.20 x + 105

x = 52.5

so, for 52.5 mugs total charge will be exactly same

e) company A is the cheaper option if less than 52.5 mugs are ordered

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