SOLUTION: a caterer charges a fixed cost for each person served. you know the cost for 100 will be $750 and the cost for 150 will be $1050. fins the caterers fixed cost and the cost per stud

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Question 276790: a caterer charges a fixed cost for each person served. you know the cost for 100 will be $750 and the cost for 150 will be $1050. fins the caterers fixed cost and the cost per student served.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A caterer charges a fixed cost for each person served.
You know the cost for 100 will be $750 and the cost for 150 will be $1050.
Find the caterer's fixed cost and the cost per student served.
:
Assign the given values as follows:
x1=100, y1=750
x2=150, y2=1050
:
Find the slope: m = %28y2-y1%29%2F%28x2-x1%29
:
m = %281050-750%29%2F%28150-100%29 = %28300%29%2F%2850%29 = 6 is the slope
:
Find the equation: y - y1 = m(x - x1)
y - 750 = 6(x - 100)
y - 750 = 6x - 600
y = 6x - 600 + 750
y = 6x + 150, the equation
:
From this we know the cost per student = $6, the fixed cost $150