SOLUTION
If the table represents an inverse variation, it means that y is inversely proportional to x, written as
Removing the proportionality sign and introducing a constant k, we have
In the first column, we have x = -4 and y = 3.5. Substituting these values for x and y, we have
So, if it's an inverse variation, the relationship would be
In the second column, x = -2 and y = 7.
Now lets substitute the value of x for -2. If we get y to be 7, then the relationship is an inverse variation
We have
Since we got y = 7, the relationship is therefore an inverse variation.
The constant k = -14
The equation for the inverse variation is
Answer:
A
Step-by-step explanation:
A
Answer: -77
Step-by-step explanation:
(-7(3)^1/2)(11(10)^1/2)=
-7*11*(3)^1/2 * (10)^1/2=
-77*(3*10)^1/2=
-77(30)^1/2=-77
Answer: Only B
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Explanation:
For situation A,
- x is the input and it represents the student's name.
- y is the output and it represents the colors the student likes.
The pairing (x,y) tells us what a certain student likes in terms of color.
For example, the point (Allen, Red) tells us that Allen likes the color red. We could also have (Allen, Green) telling us he also likes green. Because the input "Allen" maps to more than one output, this means situation A is not a function. A function is only possible if any given input maps to exactly to one output. The input must be in the domain. The domain in this case is the set of all students in the classroom.
In contrast, Situation B is a function because a student will only have one favorite math teacher. I'm interpreting this to mean "number one favorite" and not a situation where a student can select multiple favorites.
