A company discovers that to produce x=560 new electronic parts, it will cost y=$54,780. To produce 590 new electronic parts, it will cost $57,570.
a) Write a linear equation in slope-intercept form that models the number of new electronic parts, x to cost, y. [Hint: the line must pass through the points (560, 54,780) and (590, 57,570)].
b) Use this equation to predict the cost to produce 600 new electronic parts.
c) Explain what the slope for this line means in the context of the problem.