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Sadie is doing weekly payroll for her employees at her car dealership. Her employees make a base salary plus commission. The function LaTeX: E(x)=\mid 5- \frac{6x}{2}\mid models the way Sadie calculates the commission where x represents the number of cars the employee sells. If one of her employees sells 7 cars, how much commission will they make?

Respuesta :

MrRoyal

The commission function is an illustration of the absolute functions

The commission for the sales of 7 cars is 16

The function is given as:

[tex]\mathbf{E(x)=\mid 5- \frac{6x}{2}\mid}[/tex]

When an employee sells 7 cars, we have:

x = 7

So, the equation becomes

[tex]\mathbf{E(x)=\mid 5- \frac{6\times 7}{2}\mid}[/tex]

Simplify

[tex]\mathbf{E(x)=\mid 5- 3\times 7\mid}[/tex]

[tex]\mathbf{E(x)=\mid 5- 21\mid}[/tex]

Simplify

[tex]\mathbf{E(x)=\mid- 16\mid}[/tex]

Remove absolute brackets

[tex]\mathbf{E(x) = 16}[/tex]

Hence, the commission for the sales of 7 cars is 16

Read more about absolute functions at

https://brainly.com/question/1389494

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