widget wonders produces widgets. they have found that the cost, c(x), of making x widgets is a quadratic…

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 $45 to produce 2 widgets, $143 to produce 4 widgets, and $869 to produce 10 widgets. here is the cost function used to represent this situation in terms of the number of widgets produced: c(x)=9x^{2}-5x + 19. find the total cost of producing 9 widgets. enter the correct answer.

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 $45 to produce 2 widgets, $143 to produce 4 widgets, and $869 to produce 10 widgets. here is the cost function used to represent this situation in terms of the number of widgets produced: c(x)=9x^{2}-5x + 19. find the total cost of producing 9 widgets. enter the correct answer.

Answer

Explanation:

Step1: Substitute x = 9 into cost - function

$c(9)=9\times9^{2}-5\times9 + 19$

Step2: Calculate $9^{2}$

$9^{2}=81$, so $c(9)=9\times81-5\times9 + 19$

Step3: Calculate multiplications

$9\times81 = 729$ and $5\times9=45$, then $c(9)=729-45 + 19$

Step4: Calculate sub - traction and addition

$729-45=684$, and $684 + 19=703$

Answer:

703