Question

can someone please help me with algebra 2? im really stuck on this question..:/ picture posted..

Answer 1

We can rule out direct variation.
Now we need to check if it is indirect variation or misc.

The general form for indirect variation is
\[y = \frac{ k }{ x }\]
where k is a constant.

Check if all four pairs give the same value of k.

Answer 2

wait...what? how do i find that out?

Answer 3

theres a pattern? every time that y goes up one, then x goes up 5.. is that what u mean?

Answer 4

Figure out what \(x\cdot y\) is in each case.

Answer 5

In layman terms..

Direct variation between x and y implies
if x increases; then y increases.(and vice-versa)

Indirect variation between x and y implies
If x increases; then y decreases (and vice-versa)

Answer 6

ooh! 10 times 1/2 is 5.. so x goes up 5?

Answer 7

so its definitely direct variation right?

Answer 8

@LastDayWork how do i write an equation for the function?

Answer 9

Find xy for each case (as wio suggested)
If you get xy = constant ; for all pairs of (x,y)
Then it is indirect variation.

& the equation will be
xy = constant

I guess, you can easily find the value of the constant ;)

Answer 10

can u help me?

Answer 11

Yea..tell me where you are stuck..

Answer 12

finding xy.. i dont know how to do that.. its probably really simple huh? lol:)

Answer 13

@LastDayWork ?

Answer 14

The table gives you the value of x and y.
Consider each column individually.

I am doing one as an example.
x = 10
y = 1/2

Thus constant (k) = x*y = 10 * (1/2) = 5

This may look unnecessary, as you could easily comprehend "...every time that y goes up one, then x goes up 5.."
But, let's do this as a formality ;)

Answer 15

You will have to show the same for other three pairs..

Answer 16

so... (k) = x*y=10*(1/2)=5 is the equation for the function?

Answer 17

Yea..
xy = 5

but you have to show that other pairs also satisfy this equation.

Answer 18

ok.. but the other pairs would be the same?

Answer 19

I don't quiet get your question..

Answer 20

ok. well every other xy pair would also equal 5 right? because each time y goes up 1, then x goes up 5.. umm...how can i show that the other pairs would also satisfy the equation xy=5?

Answer 21

Simply multiply them..
x = 15
y = (1/3)

xy = 15 * (1/3) = 5

Repeat these steps..

Answer 22

oh ok!! then after they are all done, then is that the equation for the function?

Answer 23

@LastDayWork

Answer 24

Er..yea
Were you lookn' for something complex ?? :P

Answer 25

oh maybe.. thanks so much!:)

Answer 26

You're welcome :)