What is the slope of the line in part (a), and what does it represent?

Algebra
Tutor: None Selected Time limit: 1 Day

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.

Feb 2nd, 2015

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

Feb 2nd, 2015

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Feb 2nd, 2015
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