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).
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
Select a Value:
Option 1
Option 2

If x represents Chloe’s weekly sales, the following equation can be used to determine which option will benefit her the most:
Select a Value:
600=0.08x
600=350+0.08x
600x=350x+0.08x

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

Answer 1

Answer:

(A) Option 2

(B) 600=350+0.08x

(C) x<3125

Step-by-step explanation:

In option 1, Chloe will get $600 per week and in option 2 she will get $350 plus 8% of her weekly sale.  

(A) So, if her weekly sale is $3200, then in option 2 she will get (350+0.08*3200)= $606, which is more than her option 1 income i.e. $600.

Hence, she will earn more money with Option 2.(Answer)

(B) If Chloe's weekly income is $x, then the equation that gives better income for her will be  

600=350+0.08x ..... (1) (Answer)

(C) Solving equation (1) we get that x=$3125.

So, if the weekly income of Chloe is the same from both Option 1 and Option 2, then her weekly sales must be $3125.

Therefore, if she wants to earn more money with Option 1, then her weekly sale(x) should be less than $3125.

i.e. x<3125 (Answer)