The option that best describes the graphed function is: D. inverse variation; k = 4
<h3>What is an Inverse Variation?</h3>
Given two variables x and y has an inverse variation, the equation that models the relationship of the inverse variation is: y = k/x, where k = xy.
This means that as x increases, y decreases. This is the same for the graph given. So, it is an inverse variation.
When x = 2, y = 2. Therefore:
k = (2)(2)
k = 4
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Answer: 
Step-by-step explanation:
Vertical Angles states that 9x+27=117
Supplementary Angles states that 117+z=180
![9x+27=117\\Subtract (27)\\9x=90\\Divide(9)\\\left[\begin{array}{c}x=10\end{array}\right] \\\\117+z=180\\Subtract(117)\\\left[\begin{array}{c}z=63\end{array}\right]](https://tex.z-dn.net/?f=9x%2B27%3D117%5C%5CSubtract%20%2827%29%5C%5C9x%3D90%5C%5CDivide%289%29%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%3D10%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C117%2Bz%3D180%5C%5CSubtract%28117%29%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dz%3D63%5Cend%7Barray%7D%5Cright%5D)
<em>Hope it helps <3</em>
Answer:
I can't exactly draw this out on this website, but I can tell you how to do it:
First, solve the inequality so it resembles a function:
7x - y ≥ 14
-y ≥ -7x + 14
y ≤ 7x - 14 (Both side multiply by -1)
Then, graph y = 7x - 14
- Draw a straight line (Don't do the dotted lines because it's not > or <)
- Here's a couple of points to get started: (0, -14), (1, -7)
Finally, because y is less than/equal to 7x - 14, shade in the area under/below the line(where the y-values are smaller).
<em>Hope it's helpful enough</em>