Question

The pair of points is on the graph of an inverse variation. Find the missing value.

(5, 4) and (x, 7)

Answer 1

Inverse variation can be modeled by the equation \[\Large y={k \over x}\]
or \[\Large xy=k \]

where k is some constant. If you have one point on the graph, you can plug in x and y and find k and then use it to find other values.

Answer 2

In this case we want to find another point, but we only have one value, so if we find k, then we can go and find the missing x=value

Answer 3

\[\frac{ 5 }{ 4} ?\]

Answer 4

\[\Large 5={k \over 4}\]
or \[\Large 5*4=k\]

so what is the value of k?

Answer 5

20 will be k ?

Answer 6

Correct. So now that we know that, our second point is (x, 7) or in other words

\[\Large 7={20 \over x}\]
or \[\Large 7x=20\]

So solve for x and you have your x-value

Answer 7

2.8 ???

Answer 8

Correct, it's a little weird for a question like this you usually just get an integer but that's correct.

Answer 9

im confused

Answer 10

@doulikepiecauseidont

Answer 11

Post this as a new thread and you'll be able to get even more feedback

Answer 12

Oh wait nvm this is the same question

Answer 13

From our problem solving steps we got \[\Large 7x=20\]

Answer 14

lol is that correct ?

Answer 15

So then we get \[\Large x={20 \over 7}\]

Answer 16

And then 20= 14+6\[\Large \frac{14+6}{7}\]

Answer 17

And you can separate the fractions to get
\[\Large 2+\frac{6}{7}\]=\[\Large 2\frac{6}{7}\]

Answer 18

And \[\Large \frac{14}{7}=2~ btw\]