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 $27 to produce 2 camera cases, $105 to produce 4 camera cases, and $675 to produce 10 camera cases. Find the total cost of producing 5 camera cases.

Question

Jackson Forbes

Mathematics

11 September, 07:55

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 $27 to produce 2 camera cases, $105 to produce 4 camera cases, and $675 to produce 10 camera cases. Find the total cost of producing 5 camera cases.

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Arjun Petty · Answer 1

We can translate the given problem into a table containing the data expressed as

x c (x) ($) 2 274 10510 675

to find the total cost of producing 5 cases, we plot first the data and find the equation. The equation is c (x) = 7x2 - 3x + 5. when x is equal to 5, then c (x) is equal to $165