The manager of a furniture factory finds that it costs $2200 to manufacture 100 chairs in one day and $4000 to produce 300 chairs in one day.
find an equation that expresses this relationship.
Assuming the relation between the cost C and the chair number N is
According to the description, N=100, C=2200, 100a+b=2200 (1)
N=300, C=4000, 300a+b=4000 (2)
Equation 2-Equation 1: 200a=1800, a=9
Input a=9 in Equation 1: 100*9+b=2200, 900+b=2200, b=1300
Therefore the equation is C=9N+1300
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