Need to find linear function - Pre Calc

Question

The cost of producing x widgets is linearly related to the numbers of widgets produced. Assume the cost of producing 30 widgets is $3,520 and the cost of producing 0 widgets (fixed cost) is $980. a. Find the linear function giving cost, C(x), in terms of widgets produced. b. How much does it cost to produce one widget?

Answer 1

C(x) = FC + VC = Fixed Cost + Variable Cost = 980 + 3520x/30

= 352x/3 + 980 dollars

Answer 2

$3520 / 30 is cost of one widget.

C = (3520x/30) + 980