Question

Mirabelle makes a salary of $2,000 per month with a 25% commission on her sales. She has decided to save 5% of her salary and 10% of her commission earnings every month for retirement. Which of the following equations gives the monthly amount, S(x), that she deposits into her retirement account as a function of x, her total monthly sales?

Answer 1

Mirabelle deposits 5% of her salary, which has a constant value of $2000, so we have:

`5\text{\% of 2000}=(5)/(100)\cdot2000=5\cdot20=100`

She also deposits 10% of her commission, which is calculated as 25% of her sales.

So, if the total value of her sales is given by x, we have:

`10\text{\% of (25\% of x)}=(10)/(100)\cdot(25)/(100)\cdot x=(1)/(10)\cdot(1)/(4)\cdot x=(x)/(40)=0.025x`

Therefore, adding both deposits, we have:

`S(x)=0.025x+100`

So the correct option is D.