Question

Chloe has been offered a new job in the women’s shoe department at Macy’s. She has two salary options. She can receive a salary of $600 per week (Option 1), or receive $350 per week plus 8% of her weekly sales (Option 2).

If Chloe has $3,200 in weekly sales, she will earn more money with
If x represents Chloe’s weekly sales, the following equation can be used to determine which option will benefit her the most:
If x represents Chloe’s weekly sales, she will earn more money with Option 1 when

Answer 1

If x represents Chloe’s weekly sales, she will earn more money with Option 1 when
Select a Value:
x>3125
x<3125

Answer 2

Option 2 is better than option 1.

Explanation:

Option 1:

She can receive a salary of $600 per week (this is constant)

Option 2:

She will receive $350 per week plus 8% of her weekly sales.

Let the weekly salary be represented by = x

8% commission means she will earn
`350+0.08x`

Now given is : If Chloe has $3,200 in weekly sales,

then through option A, she will earn $600.

And through option B she will earn:

`350+0.08(3200)=350256=606`

Hence, option 2 will help Chloe earn more.

Part B:

`600=350+0.08x`

Part C:

Option 1 will lead to a greater earn when
`600>350+0.08x`

Solving it:

`600-350>0.08x`

(250/0.08)>x

3125 > x or we can say x < 3125