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

Answer:

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

B) $1200

Step-by-step 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 $\frac{10}{100}*w=0.10w$

$E(w)=450+0.10w$

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:

$570=450+0.10w$

$570-450=450-450+0.10w$

$120=0.10w$

$0.10w=120$

$\frac{0.10w}{0.10}=\frac{120}{0.10}$

$x=1200$

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