Quadratic Function - Algebra 1 help please :)!!

Question

anonymous · Answer

Photo Necessities produces cases. They have fou 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 $16 to produce 2 camera cases, $18 to produce 4 camera cases, and $48 to produce 10 camera cases.

Complete the function that represents the cost, c(x), to produce x camera cases.

c(x) =

anonymous · Answer

Never mind, Solved myself... 

The answer is 
$$0.5x^2 - 2x + 18$$

I had to write a system of given the number of camera cases produced and the corresponding cost. Then, solve the system for a, b, and c.

16 = 4a + 2b + c
18 = 16a + 4b + c
48 = 100a + 10b + c
This is the cost function:
$$c(x) = 0.5x^2 - 2x + 18$$