Question

quick computing company produces calculators they have found that the cost c(x),of making calculators is a quadratic function in terms of x the company also discovers that it costs $45 to produce 2 calculators, $143 to produce 4 calculators, and 869 to produce 10 calculators FIND THE TOTAL COST OF PRODUCING 1 CALCULATOR

Answer 1

$23

Explanation:

We will use a quadratic regression to solve this.

Using a graphing calculator, put the number of calculators into the first list (x) and the cost to produce into the second list (y).

Next we run the quadratic (x^2) regression. Doing this gives us an equation in the form

y = ax²+bx+c. The values we are given for a, b and c are

a = 8.9999999999; b = -4.999999999999; c = 18.999999999

These can be rounded to a = 9, b = -5 and c = 19. This gives us the equation

y = 9x²-5x+19

Substituting 1 in place of x, we have

y = 9(1²)-5(1)+19 = 9(1)-5+19 = 9-5+19 = 4+19 = 23

Answer 2

it cost $23 to make one calculator hope this helps