SOLUTION: Let a be the fixed cost and b be the cost per person. Suppose you know $1000 for 30 people and $2000 for 80 people. Set up a system of equations in terms of a and b.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Let a be the fixed cost and b be the cost per person. Suppose you know $1000 for 30 people and $2000 for 80 people. Set up a system of equations in terms of a and b.       Log On


   

Question 946185: Let a be the fixed cost and b be the cost per person. Suppose you know $1000 for 30 people and $2000 for 80 people. Set up a system of equations in terms of a and b.
Answer by stanbon(75887) About Me  (Show Source):
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Let a be the fixed cost and b be the cost per person. Suppose you know $1000 for 30 people and $2000 for 80 people. Set up a system of equations in terms of a and b.
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a + b*30 = 1000
a + b*80 = 2000
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Subtract and solve for "b"::
50b = 1000
b = 20 (cost per person)
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Solve for "a"::
a + 20*30 = 1000
a + 600 = 1000
a = $400 (fixed cost)
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Cheers,
Stan H.
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