Question

A manufacturing company has a policy that states managers are paid a salary that is proportional to the number of employees they manage on their team. If the number of employees on Team A increases from 12 to 16 and Team A manager’s salary is increased from $34,000 to $36,000, was the company’s policy followed? Set the problem as a proportion and see if both sides are equal.

Answer 1

The company's policy was not followed.

Step-by-step explanation:

To determine if the company's policy was followed, we can set up a proportion between the number of employees and the manager's salary. The proportion can be set up as:

(Number of employees on Team A)/(Manager's salary) = (Change in number of employees)/(Change in manager's salary)

Plugging in the values, we get:

12/34000 = 16/36000

Cross multiplying, we find that the proportions are not equal. Therefore, the company's policy was not followed.

Answer 2

From the problem description, we can construct an algebraic equation for the situation. Let S be the salary and x be the number of employees.

S = kx
where k is the proportionality constant

Using variation,

k = S₁/x₁ = S₂/x₂

Substituting,

34000/12 ? 36000/16
2833.33 ? 2250
Thus,
2833.33 ≠ 2250
It does not follow the company's policy.