a sales associate in a shoe store earns $325 each week plus a commonision equal to 4% of her sales. This week her goal is to earn at least $475 At least how many dollars worth of shoes must the associate sell in order toreach her goal

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Hi there! :)

Answer:

The associate must sell at least $3,750 worth of shoes in order to reach her goal.


Step-by-step explanation:

First off, you'll need to write an inequation that represents the problem:

- Earns $325 per week.

- Let's replace "her sales" by the letter "x" since it's what we are looking for.

- 4% of "her sales" → 4% is the same thing as 4 ÷ 100 = 0.04

- 4% of "her sales" → The word "of" is the same thing as a multiplication sign → 4% x "her sales"

- 4% of "her sales" = 4% of "x" = 0.04 of "x" = 0.04 × "x" = 0.04x

- The expression "at least" is represented by the sign: ≥ → Which is the same thing as greater than or equal to.


Now that you got all of your information sorted out, your inequation should look like this:

0.04x + 325 ≥ 475


Now that you have your inequation written down, all you have to do left is to solve your inequation by isolating "x":

0.04x + 325 ≥ 475

Subtract 325 from each side of the equation → 475 - 325 = 150

0.04x ≥ 150

Divide each side of the equation by 0.04 → 150 ÷ 0.04 = 3,750

x ≥ 3,750


There you go! I really hope this helped, if there's anything just let me know! :)

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