Question

A phone store employee earns a salary of $450 per week plus 10% comission on her weekly sales. A) What function rule models the employee's weekly earnings? B)If the employee earned $570 in a week, what was the amount of her sales for that week?

Answer 1

A)
`E(w)=450+0.10w`

B) $1200

Explanation:

Let w represent employee's weekly sales and
`E(w)` be total weekly earnings.

We have been given that a phone store employee earns a salary of $450 per week plus 10% commission on her weekly sales.

A) The total weekly earnings of employee would be weekly salary plus 10% of weekly sales.

10% of weekly sales, w, would be
`(10)/(100)*w=0.10w`

`E(w)=450+0.10w`

Therefore, the function
`E(w)=450+0.10w` models the employee's weekly earnings.

B) To find the weekly sales in the week, when employee earned $570, we will substitute
`E(w)=570` in our formula and solve for w as:

`570=450+0.10w`

`570-450=450-450+0.10w`

`120=0.10w`

`0.10w=120`

`(0.10w)/(0.10)=(120)/(0.10)`

`x=1200`

Therefore, the amount of employee's weekly sales was $1200.