Question

What is the constant of variation in the graph below?
3
12
24
48

Answer 1

@Donblue22

Answer 2

I was never really very good at these :/

Answer 3

k

Answer 4

@SolomonZelman

Answer 5

@ganeshie8 @UnkleRhaukus @freethinker @cram

Answer 6

At first, just by the way the x increases and y decreases you can see that this is an inverse variation.

Inverse variation looks like this: \(\huge\color{blue}{ y= \frac{k}{x} }\) where k is just a number (real number)

Let's try to solve for ` k ` by plugging in the first coordinate.

\(\huge\color{blue}{ y= \frac{k}{x} }\)

\(\huge\color{blue}{ 24= \frac{k}{2} }\)

\(\huge\color{blue}{ 48= k }\)

Answer 7

48?

Answer 8

At first, just by the way the x increases and y decreases you can see that this is an inverse variation.

Inverse variation looks like this: \(\huge\color{blue}{ y= \frac{k}{x} }\) where k is just a number (real number)

Let's try to solve for ` k ` by plugging in the first coordinate.

\(\huge\color{blue}{ y= \frac{k}{x} }\)

\(\huge\color{blue}{ 24= \frac{k}{2} }\)

\(\huge\color{blue}{ 48= k }\)

Answer 9

so 48?

Answer 10

I got disconnected from the site... yes !

Answer 11

oh okay! more?

Answer 12

Which ordered pair lies in Quadrant 1?
(-7,-1)
(-1,0)
(3,4)
(4,-6)

Answer 13

3,4

Answer 14

the downward slope seem to indicate that there is 9, 12, 14 addition

Answer 15

the one that has a positive x coordinate, and a positive y coordinate,

Answer 16

thanks @ramit.dour

Answer 17

wait there's a graph? laughing out loud

Answer 18

no, it's just a question.

Answer 19

Q1 is always (+,+)

Answer 20

that is positive x value and positive y value

Answer 21

3,4

Answer 22

i wish I could give multiple medals!

Answer 23

the point of intersection of line x=3 and y=4 lies in first quadrant

Answer 24

I don't really like medals

Answer 25

Quadrant 1 \(\normalsize\color{blue}{ (+,+) }\)
Quadrant 2 \(\normalsize\color{blue}{ (-,+) }\)
Quadrant 3 \(\normalsize\color{blue}{ (-,-) }\)
Quadrant 4 \(\normalsize\color{blue}{ (+,-) }\)

Answer 26

so it would be 3,4 right?

Answer 27

you don't even have to graph it
it should be an intuition by now

Answer 28

yes, @Monster1234

Answer 29

can you tell me the real number range of each quadrants?