Photo necessities produces camera cases. They have found that the cost, c(x), of making x camera cases is a quadratic function in term of x.
The company also discovered that it costs $45 to produce 3 camera cases, $257 to produce 7 camera cases, and $792 to produce 12 camera cases.
Find the total cost of producing 1 camera cases.

Question

Photo necessities produces camera cases. They have found that the cost, c(x), of making x camera cases is a quadratic function in term of x.
The company also discovered that it costs $45 to produce 3 camera cases, $257 to produce 7 camera cases, and $792 to produce 12 camera cases.
Find the total cost of producing 1 camera cases.

donnie1999 · Answer

@HWBUSTER00

anonymous · Answer

(3, 45) (7, 257) (12, 792) 

Use them in 
y = ax² + bx + c 

45 = 9a + 3b + c 
257 = 49a + 7b + c 
792 = 144a + 12b + c 

212 = 40a + 4b 
53 = 10a + b 

535 = 95a + 5b 
107 = 19a + b 

54 = 9a 
a = 6 

107 = 114 + b 
b = -7 

45 = 54 - 21 + c 
12 = c 

y = 6x² - 7x + 12 

If x = 1, y = 11 

It costs $11 to produce 1 camera case.