Question

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.

Answer 1

`P(x)=(1)/(40)x+100`

Explanation:

Let the amount earned by her in selling computers be
`x` dollars.

Given:

Base pay per day,
`b=\$ 100`

Hailey's total pay on a given day =
`P(x)`

Now, commission earned on
`x` dollars,
`c=2.5\% \textrm{ of }x=(2.5)/(100)x=(1)/(40)x`

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

`P(x)=b+c\\P(x)=100+(1)/(40)x\\P(x)=(1)/(40)x+100`

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