Question

Photo necessities produces camera cases. They have found that the cost, c(x), of making x camera cases is a quadratic function in terms of x

The company also discovered that it costs $28 to produce 2 camera cases, $50 to produce 4 camera cases, and $140 to produce to camera cases.

Find the total cost of producing 12 camera cases

Answer 1

A graphing calculator can do quadratic regression on the given points. It tells you the cost function is
.. c(x) = (1/2)x^2 +8x +10

Then c(12) = 178

The cost function predicts the total cost of producing 12 camera cases is $178.