The manager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and $4800to produce 300 chairs in one day.

(a) Assuming that the relationship between cost and the number of chairs produced is linear, find a linear functionCthat models the cost of producingxchairs in one day.

C(x) =

Slope?

At what rate does the factory's cost increase for every additional chair produced?