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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)

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ANSWER

[tex]p(x) = 6x - 15[/tex]

EXPLANATION

The revenue from selling x necklaces is

[tex]r(x) = 10x[/tex]

The cost of buying x necklaces is

[tex]c(x) = 4x + 15[/tex]

The profit from selling x necklaces is

[tex]p(x) = r(x) - c(x)[/tex]

We substitute the functions to get;

[tex]p(x) = 10x- (4x + 15)[/tex]

[tex]p(x) = 10x- 4x - 15[/tex]

[tex]p(x) = 6x - 15[/tex]

Therefore the function for the profit is

[tex]p(x) = 6x - 15[/tex]

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