The manager of a furniture factory finds that it costs 2200

The manager of a furniture factory finds that it costs $2200 to manufacture 100 chairs in one day and $4600 to produce 300 chairs in one day. Assuming that the relationship between cost (y, in dollars) and the number of chairs produced (x) is linear, find an equation that expresses this relationship. Y = 23x + 1000

Solution

Here we have two points (100,2200) and (300,4600)

slope= (y₂-y₁)/(x₂-x₁)

      =(4600-2200)/(300-100)= 12

using point slope form which is

y-y₁=m(x-x₁)

y-2200=12(x-100)

y-2200= 12x - 1200

y= 12x+ 1000