Posted by **Sarah** on Wednesday, April 11, 2007 at 5:30pm.

In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce. Find the equation that relates C and x.

Model it with this equation:

cost= K1* n + K2

where K2, K1 are constants, and n is the number of items.

Now plug the two equations in (for n=100 and n=300) and solve for K1 and K2.