can anyone help me with solving problems using quadratic functions?

Question

anonymous · Answer

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anonymous · Answer

this is a question that has been asked. 

The company discovered that it costs $30 to produce 2 widgets, $118 to produce 4 widgets, and $766 to produce  10 widgets. Using quadratic functions, find the cost of producing 6 widgets.

anonymous · Answer

consider a quadratic formula in the form:
$$y=ax^2+bx+c$$
where x is the number of widgets, and y is the cost of producing them,
we have three points (2,30), (4,118) and (10,766)..
substitute in the equation to find a, b and c..

anonymous · Answer

when you find a, b and c, all you have to find the cost of producing 6 widgets is to substitute x=6 and find the value of y.. that value is the cost you're looking for.