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Explanation:

Identify given values and variables

Total amount to distribute: \(\$15,000\).
Number of healthcare providers: \(3\) (inferred from the cut-off text "paym[ent to 3] different healthcare providers" and the options containing the number \(3\)).
Let \(x\) be the payment each provider receives.

Formulate the equation

$$ 3x = 15,000 $$

Answer:

  • (A) \(x + 3 = 15,000\)
  • (B) \(3x = 15,000\) (Correct answer)
  • (C) \(15,000x = 3\)
  • (D) \(x = \frac{3}{15000}\)