Victoria works at the Apple Store. She is paid
on commission. She receives 10% of her first
$2,000 in sales and 15% of the balance of her
sales. Last week she earned $1,800. What
was the total value of the products she sold?
$12.588.87
$15.125.33
$11,333.33
None of these
$13,445.87

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Answer:

  None of these

Step-by-step explanation:

A function describing Victoria's commission for total sales over $2000 could be ...

  f(s) = 0.10×2000 +0.15×(s -2000)

  f(x) = 0.15s -100 . . . . simplify

Then for a commission of 1800, her sales must be ...

  1800 = 0.15s -100

  1900 = 0.15s

  1900/0.15 = s = 12,666.67 . . . . matches none of the choices

_____

For $12,588.87, the commission would be $1788.33

For $15125.33, the commission would be $2168.80

For $11,333.33, the commission would be $1600.00

For $13,445.87, the commission would be $1916.88