Widget wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x. The company also discovered that it costs $30 to produce 2 widgets, $106 to produce 4 widgets, and $670 to produce 10 widgets.
what's the total cost of producing 5 widgets?

Question

Widget wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x. The company also discovered that it costs $30 to produce 2 widgets, $106 to produce 4 widgets, and $670 to produce 10 widgets. 
what's the total cost of producing 5 widgets?

anonymous · Answer

cost = aw^2 + bw + c

solve for a, b, c:
30 = a(4) + b(2) + c
106 = a(16) + b(4) + c
670 = a(100) + b(10) + c

cost of 5 = substitute w=5 into equation you found