(( PLZ HELP))

A student is assessing the correlation between the number of workers in a factory in the number of units produced daily. The table below shows the data:

Number of workers (x): 0 10 20 30 40 50 60 70 80 90

Number of units (y): 2 52 102 152 202 252 302 352 402 452

Part A: Is there any correlation between the number of workers in a factory and the number of units produced daily? Justify your answer.

Part B: Write a function which best fits the data.

Part C: What does the slope and y-intercept of the plot indicate?

Part A: There is a correlation between the number of workers in a factory and the number of units produced daily.

Part B: The function that best fits the data is

Part C: The slope indicates the rate of change of number of units produced daily(y) over change in number of workers(x). The y-intercept of the plot indicates the number of units produced by number of workers.

Explanation:

Part A:  Let us determine it using the slope formula which is given by,

Substituting, the coordinates and .

Thus, we have,

Thus, slope = 5

The y-intercept can be determined when the value of x is zero.

Hence, y-intercept b = 2

Substituting these values in the slope-intercept formula,

Thus, there is a correlation between the number of workers in a factory and the number of units produced daily.

Part B: The function that best fits the data is given by

The explanation for the function equation is provided above.

Part C:

The slope is

The slope indicates the rate of change of number of units produced daily(y) over change in number of workers(x).

The y-intercept is

The y-intercept indicates the number of units produced by number of workers.

sas (side angle side)

aa(angle angle)

sss(side side side)

sas you have to find two sides with an angle in between

aa you find two angles because it will always add up to 180

sss find all sides

step-by-step explanation: