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 $16 to produce 2 widgets, $18 to produce 4 widgets, and $48 to produce 10 widgets. Find the total cost of producing 8 widgets. Write your answer in quadratic equation.

Question

Jaqueline Hess

Mathematics

30 March, 01:42

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 $16 to produce 2 widgets, $18 to produce 4 widgets, and $48 to produce 10 widgets. Find the total cost of producing 8 widgets. Write your answer in quadratic equation.

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Answers (1)

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Izayah Frank · Answer 1

Using the ordered pairs given, the quadratic equation would be:

f (x) =.5x^2 - 2x + 18

To find the cost of 8 widgets plug 8in for x.

f (8) =.5 (8) ^2 - 2 (8) + 18

f (8) =.5 (64) - 16 + 18

f (8) = 32 + 2

f (8) = $34