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 xx dollars worth of computers.

Answer 1

P(x)=0.025x+100

Explanation:

The 0.025 is 2.5% as a decimal. Then, the +100 is for the base pay amount Hailey receives.

Answer 2

Hailey's total pay on a day which she sells x dollars worth of computer is
`P(x) = 100 + (x)/(40)`

Explanation:

Given,

Let x represents the total amount of sales per day

Let bp represents her base pay

bp = $100

Let sc represents her sales commission

sc = 2.5% of total amount of sales

sc = 2.5% of x

Let P(x) represent her total pay on a day she sells x dollars worth of computer

To calculate P(x), we make use of the summation of her base pay by her total sales commission.

This is given as

P(x) = base pay + sales commission

or

P(x) = bp + sc

By Substitution of the right values

P(x) = $100 + 2.5% of $x

`P(x) = 100 + (2.5)/(100)` of $x

`P(x) = 100 + (2.5x)/(100)`

`P(x) = 100 + (25x)/(1000)`

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

Hence, Hailey's total pay on a day which she sells x dollars worth of computer is
`P(x) = 100 + (x)/(40)`