Answer:
A) Yes, for each increase of 25 employees there is an increase of 150 products.
B) y = 6x + 10
C) the slope indicates the increase that will occur in the y-value for each unitary increase in the x-value, and the y-intercept indicates the inicial value of y (when x = 0)
Step-by-step explanation:
A)
Yes, there is a linear correlation, because a linear increase in the number of employees causes a linear increase in the number of products. For each increase of 25 employees there is an increase of 150 products.
B)
We can use two pair of points to write a linear equation in the model:
y = ax + b
Using x = 0 and y = 10, we have:
10 = a * 0 + b -> b = 10
Using x = 25 and y = 160, we have:
160 = a * 25 + 10
25a = 150 -> a = 6
So the equation is:
y = 6x + 10
C)
the slope indicates the increase that will occur in the y-value (number of products) for each unitary increase in the x-value (number of employees), and the y-intercept indicates the inicial value of y (when x = 0, that is, no employees)
Answer:
2 is the average rate of change of the function
from
to
.
Step-by-step explanation:
I assume you meant
based off the points.
We are given that
and
are points on this curve.
We are asked to find the average rate of change (the slope) from
to
.
We have the two points needed to find the slope.
We just need to line them up and subtract vertically then put 2nd difference on top of 1st difference.


--------------------Subtracting!

So the slope is
.
Answer:
Step-by-step explanation:
Looking at the scenario, a right angle triangle is formed.
The length of the pole represents the hypotenuse of the right angle triangle.
The distance from the top of the pole to the ground represents the opposite side of the right angle triangle.
To determine the angle formed by the pole and the ground, we would apply we would apply the Sine trigonometric ratio.
Sin θ = opposite side/hypotenuse. Therefore,
Sin θ = 15/18 = 0.833
θ = Sin^-1(0.833)
θ = 56.4°
The answer to your questions is corresponding. They are the same angle on different lines.
Answer:
I think it is A. 1/6
Step-by-step explanation:
Hope this helps!