Question 379405: if a caterer charges a fixed cost for preparing a dinner plus an additional cost for each person served and you know that the cos will be for 100 students will be $750 and the cost for 150 students will be $1050,what would the caterer's fixed cost and the cost per student be?(using linear equations)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! if a caterer charges a fixed cost for preparing a dinner plus an additional cost for each person served and you know that the cost will be for 100 students will be $750 and the cost for 150 students will be $1050,what would the caterer's fixed cost and the cost per student be?(using linear equations)
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You have two points relating # of students and cost
(100,750) and (150,1050)
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slope = (1050-750)/(150-100) = 300/50 = 6
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Form: c = mx + b
750 = 6*100 + b
b = 150
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Cost(x) = 6x + 150
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Cost per student = $6
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Cheers,
Stan H.
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