Question

If y varies directly with x, write an equation for the direct variation. If y=6 when x=24, what is the value of x when y=7? Is the answer Y=56?

Answer 1

28

Answer 2

Can you explain how you got the answer please?

Answer 3

y = \[\frac{ x }{ 4 }\]

Answer 4

This means that 7 = x/4. Multiply each side my 4, and you get 28.

Answer 5

Side?

Answer 6

Side of the equation, with the center of the equation being the equal sign.

Answer 7

Do you get it now?

Answer 8

Ya....

Answer 9

@mathmale is 28 right?

Answer 10

Who's @mathmale

Answer 11

"If y=6 when x=24," write the direct proportion that applies here. In other words, find k in y=kx. Once you've done that, I can quickly check your work by substituting y=7. Better yet, start with y our own y=kx and substitute y=7. What is x?

Answer 12

@mathmale Aren't there infinitely many possible equations to represent this, because there is only one ordered pair given? In order for you to have one absolute equation to represent a graph, you need two or more given ordered pairs (supposing that the equation is linear).

Answer 13

@mathamale Is this correct?
y=kx
7=ktimes8
k=8

y=8x
y=7times8
y=56

Answer 14

@TheSmartOne

Answer 15

Is the equation correct?

Answer 16

@Mehek14 Is this equation correct? Please scroll to the bottom! :D

Answer 17

Is the answer y=56?

Answer 18

THANK YOU! :D

Answer 19

I believe you have the wrong answer.

Answer 20

I don't know what Mehek is saying, but your answer is absolutely wrong.

Answer 21

? @TheSmartOne

Answer 22

How is it wrong @TheSmartOne

Answer 23

It's all wrong.

Answer 24

All your work, all the numbers you used.

They are all just wrong.

Answer 25

Ok no need to rub it in...But can you explain?

Answer 26

You need to learn how to deal with specific information first, before jumping to what you need to find.

"If y varies directly with x, write an equation for the direct variation. If y=6 when x=24"

Now, many people have posted this above, but can you tell me the equation for direct variation?

Answer 27

y=kx

Answer 28

ok, now here's the first part of your question:

"If y varies directly with x, write an equation for the direct variation. If y=6 when x=24"

Can you substitute y = 6, and x = 24 into it and solve for k?

Answer 29

The silence is real...

Answer 30

Ummmm...Can you tell me what you mean by substitute? @TheSmartOne

Answer 31

You're doing it all wrong @mathmale -.-

Answer 32

Im so confused ^_^

Answer 33

@mathmale You substitued the wrong numbers in and got k = 24/7

If you properly substituted it, you would have gotten 6/24 = 1/4

Answer 34

Borrowing TheSmartOne's input:

ok, now here's the first part of your question:

"If y varies directly with x, write an equation for the direct variation. If y=6 when x=24"

Can you substitute y = 6, and x = 24 into it and solve for k?

Direct variation implies that y=kx.

If y = 6 when x=24, then 6=k(24), and k=(6/24), or 1/4.

Thus, y = (1/4) x. Check! If x=24, is y=6 as it should be?

Answer 35

Yes or no?

Answer 36

Assuming that our equation of direct variation is y=(1/4)x, and now letting y=7, find x.

Just substitute 7 for y in y= (1/4) x. x=?

Answer 37

I still can't tell whose correct

Answer 38

we're all on the same page now :)

Answer 39

@Angel360 : I went through the calculation of the value of k and then checked my own work. Next, I let y take on a different value (7 instead of 6) and substituted that into my direct variation equation. If y = (1/4)x, and y=7, find x. Please demonstrate that you can do this.