Question

Write a function for p(x), the profit from selling x necklaces.

The revenue from selling x necklaces is r(x) = 10x. The cost of buying x necklaces is c(x) = 4x + 15. The profit from selling x necklaces is p(x) = r(x) – c(x)

Answer 1

`p(x) = 6x - 15`

Step-by-step explanation

The revenue from selling x necklaces is

`r(x) = 10x`

The cost of buying x necklaces is

`c(x) = 4x + 15`

The profit from selling x necklaces is

`p(x) = r(x) - c(x)`

We substitute the functions to get;

`p(x) = 10x- (4x + 15)`

`p(x) = 10x- 4x - 15`

`p(x) = 6x - 15`

Therefore the function for the profit is

`p(x) = 6x - 15`