Question

quadratic functions: application
widget wonders produces widgets. they have found that the cost, c(x), of making x widgets is a quadratic function in terms of x.
the company also discovered that it costs $61 to produce 3 widgets, $165 to produce 7 widgets, and $385 to produce 12 widgets.
here is the cost function used to represent this situation in terms of the number of widgets produced:
c(x) = 2x² + 6x + 25
find the total cost of producing 5 widgets.
enter the correct answer.

Explanation:

Step1: Substitute x=5 into cost function

$c(5) = 2(5)^2 + 6(5) + 25$

Step2: Calculate squared term

$2(5)^2 = 2\times25 = 50$

Step3: Calculate linear term

$6(5) = 30$

Step4: Sum all terms

$50 + 30 + 25 = 105$

Answer:

105