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.

Answer 1

You are basically given three sets of values.
Like an ordered pair (x, y).

Here, (3, 61), (7, 165) and (12, 385) are given.

Answer 2

i know but am i supposed to plug them into three equations ?

Answer 3

General form is:
y = ax^2 +bx + c
We have to find a, b and c.
Suppose y is the cost and x are the number of calculators.

61 = a(3)^2 + b(3) + c
165 = a(7)^2 + b(7) + c
185 = a(12)^2 + b(12) + c

Answer 4

so how do i solve that ? do i have to plug in more numbers?