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Hailey is a salesperson who sells computers at an electronics store. She makes a base pay amount of $100 per day regardless of sales and she earns a commission of 2.5% of the dollar amount of all sales that she makes. Write an equation for the function
P
(
x
)
,
P(x), representing Hailey's total pay on a day on which she sells
x
x dollars worth of computers.

Respuesta :

Answer:

[tex]P(x)=\frac{1}{40}x+100[/tex]

Step-by-step explanation:

Let the amount earned by her in selling computers be [tex]x[/tex] dollars.

Given:

Base pay per day, [tex]b=\$ 100[/tex]

Hailey's total pay on a given day = [tex]P(x)[/tex]

Now, commission earned on [tex]x[/tex] dollars, [tex]c=2.5\% \textrm{ of }x=\frac{2.5}{100}x=\frac{1}{40}x[/tex]

Therefore, total pay made by her on a given day is given as:

[tex]P(x)=b+c\\P(x)=100+\frac{1}{40}x\\P(x)=\frac{1}{40}x+100[/tex]

So, the equation representing Hailey's total pay on a day on which she sells [tex]x[/tex] dollars worth of computers is [tex]P(x)=\frac{1}{40}x+100[/tex].

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