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

The equations that represent the salary that Chloe's receive under the different options are:

1) Option 1: $600

2) Option 2: $ 350 + 8% * x, where x is the sales.

Using the fact that 8% = 0.08

Option 2 = $350 + 0.08x

A) If she has $3200 weekly salary:

Option 1 gives $600 (it is a constant salary)

Option 2 gives: $350 + $ 0.08 (3200) = $350 + $256 = 606.

Then, she will earn more money with the option 2.

B) The equation that can be used to determine when she earns more is found by making the two options equal:

Optio 1 = Option 2 =>

600 = 350 + 0.08x

C) Option 1 wiil lead to a greater earn when 600 > 350 + 0.08x

=> 600 - 350 > 0.08x

=> 250 > 0.08x

=> (250 / 0.08) >  x

=> 3,125 > x => x < 3,125

Then, the answer is that she will earn more money with option 1 when x < 3,125