The production cost, represented by y, of smart phone devices are equal to the product of computing components (a) and the square of the number of devices (x), added to the produ of labour (b) and number of devices (x)after which savings on reusable material (c) are subtracted. 2.1 Write down an equation to represent the production cost (y) in terms of a. x, b and c. 2.2 Change the subject of the equation/formula in 2.1 to: 2.2.1 a= 2.2.2 b = 2.2.3 = 2.3 Determine the production cost of 7 devices, if labour amounts to R4 140, computin components cost is R 1 035 and the savings on reusable material is R 1 725.​

Respuesta :

The production cost is an illustration of a quadratic function

How to determine the equation

We have the following parameters:

  • Computing components (a)
  • Number of devices (x),
  • Labor (b)
  • Savings on reusable material (c)

Using the instructions in the question, the equation of the production cost would be:

[tex]y =ax^2 + bx -c[/tex]

Hence, the production cost is [tex]y =ax^2 + bx -c[/tex]

Change the subject of the equation

In (a), we have:

[tex]y =ax^2 + bx -c[/tex]

Subtract bx - c from both sides

[tex]y - bx + c = ax^2[/tex]

Divide through by x^2

[tex]a = \frac{y - bx + c}{x^2}[/tex]

Hence, the equation that represents the computing component is [tex]a = \frac{y - bx + c}{x^2}[/tex]

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