Question

question 12 (2.5 points)
a healthcare management team needs to allocate a budget of $60,000 equally among four departments. which equation below represent this problem?

\\(60,000 + 4 = x\\)
\\(x = 60,000(4)\\)
\\(x = \frac{60000}{4}\\)
\\(x = \frac{60000}{2}\\)

Explanation:

Identify the given values and target variable

Total budget to allocate: \(60,000\) dollars.
Number of departments: \(4\).
Target variable \(x\): Budget allocated to each department.

Translate the word problem into an algebraic equation

Since the budget is allocated equally among the departments, we divide the total budget by the number of departments:

$$x = \frac{60000}{4}$$

Answer:

• (A) \(60,000 + 4 = x\)
• (B) \(x = 60,000(4)\)
• (C) \(x = \frac{60000}{4}\) (Correct answer)
• (D) \(x = \frac{60000}{2}\)