MATH SOLVE

10 months ago

Q:
# PLEASE HELPPPPPPPhoto 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 cost $45 to produce 3 camera cases $257 to produce 7 camera cases and $792 to produce 12 camera cases.Find the total cost producing 1 camera case

Accepted Solution

A:

The first thing you should know is that to define a quadratic function you need three points.

In this case the points will be:

(3. 4. 5)

(7, 257)

(12, 792)

The equation of the quadratic function in this case will be:

c (x) = 6x ^ 2 - 7x + 12

Therefore for x = 1 we have:

c (1) = 6 * (1) ^ 2 - 7 * (1) + 12

c (1) = 11 $

Answer:

Total cost producing 1 camera case is:

c (1) = 11 $

In this case the points will be:

(3. 4. 5)

(7, 257)

(12, 792)

The equation of the quadratic function in this case will be:

c (x) = 6x ^ 2 - 7x + 12

Therefore for x = 1 we have:

c (1) = 6 * (1) ^ 2 - 7 * (1) + 12

c (1) = 11 $

Answer:

Total cost producing 1 camera case is:

c (1) = 11 $