A manager is assessing the correlation between the number of employees in a plant and the number of products produced yearly. The table shows the data:

Number of employees
(x) 0 50 100 150 200 250 300 350 400
Number of products
(y) 100 1,100 2,100 3,100 4,100 5,100 6,100 7,100 8,100

Part A: Is there any correlation between the number of employees in the plant and the number of products produced yearly? Justify your answer. (4 points)

Part B: Write a function that best fits the data. (3 points)

Part C: What does the slope and y-intercept of the plot indicate? (3 points)

There is. For every new 50 employees, the number of products increases by 1000. Because the rate stays steady, there is a correlation that can be drawn using a function.

y = 20x + 100

The slope indicates for each new employee, 20 more products will be made annually. The y-intercepts tells us that if there are no employees, only 100 products will be made.

step-by-step explanation:

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.