Quick Computing Company produces calculators. They have found that the cost, c(x), of making x calculators is a quadratic function in terms of x.

The company also discovered that it costs $61 to produce 3 calculators, $165 to produce 7 calculators, and $385 to produce 12 calculators.

Find the total cost of producing 6 calculators

Question

Quick Computing Company produces calculators. They have found that the cost, c(x), of making x calculators is a quadratic function in terms of x.

The company also discovered that it costs $61 to produce 3 calculators, $165 to produce 7 calculators, and $385 to produce 12 calculators.

Find the total cost of producing 6 calculators

anonymous · Answer

please help

amistre64 · Answer

you are given 3 points to match a quadratic equation to.  you will simply need to develop 3 equations in 3 unknowns and solve it by whatever method you like best

amistre64 · Answer

take the general form:  ax^2 + bx + c = y, and plug in the 'points' given

a(3)^2 + b(3) + c = 61
a(7)^2 + b(7) + c = 165
a(12)^2 + b(12) + c = 385

substitution, elimination, or matrix are the 3 methods most commonly employed