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 $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.

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