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 $16 to produce 2 camera cases, $18 to produce 4 camera cases, and $48 to produce 10 camera cases. here is the cost function used to represent this situation in terms of the number of camera cases produced: c(x) = 0.5x² - 2x + 18 find the total cost of producing 8 camera cases. enter the correct answer.

Explanation:

Step1: Substitute $x=8$ into cost function

$c(8) = 0.5(8)^2 - 2(8) + 18$

Step2: Calculate each term separately

$0.5(8)^2 = 0.5\times64 = 32$, $-2(8) = -16$

Step3: Sum the terms

$c(8) = 32 - 16 + 18$

Answer:

34