Widget Wonders produces widgets. they have found that the cost, C(X), of making x wigets is a quadratic function in terms of x.
the company also discovers that it costs $30 to produce 2 widgets, $118 to produce 4 widgets, and $766 to produce 10 widgets.

find the total cost of producing 6 widgets.

Question

Widget Wonders produces widgets. they have found that the cost, C(X), of making x wigets is a quadratic function in terms of x.
the company also discovers that it costs $30 to produce 2 widgets, $118 to produce 4 widgets, and $766 to produce 10 widgets.

find the total cost of producing 6 widgets.

anonymous · Answer

Use this form to solve your problem $$y=ax ^{2}+bx+c$$
Since you have three unknowns, you need three equations to solve the problem.

Plug three values given into the general equation.

$$30=a2^{2}+b(2) +c$$$$118=a4^{2}=b(4)+c$$$$766=a10^{2}=b(10)+c$$

Solve for a, b and c

When you find the values for a, b, and c plug them into the general equation with x=6 and solve for y to find your answer.