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?

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

the first 5 right here the next 5 i will upload as separate question

2 and 1.

step-by-step explanation:

plug in each answer. 0 doesn't work, 1 does. so does 2. 4 doesn't:

0 = 1 is not true.

2 = 2 is true.

4 = 4 is true.

8 = 16 is not true.

hope this !

a

step-by-step explanation: