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

C=aN+b

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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