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?

- anonymous

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- 0487308

28

- anonymous

Can you explain how you got the answer please?

- 0487308

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

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## More answers

- 0487308

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

- anonymous

Side?

- 0487308

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

- 0487308

Do you get it now?

- anonymous

Ya....

- anonymous

@mathmale is 28 right?

- 0487308

Who's @mathmale

- mathmale

"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?

- 0487308

@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).

- anonymous

@mathamale Is this correct?
y=kx
7=ktimes8
k=8
y=8x
y=7times8
y=56

- anonymous

@TheSmartOne

- anonymous

Is the equation correct?

- anonymous

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

- anonymous

Is the answer y=56?

- anonymous

THANK YOU! :D

- TheSmartOne

I believe you have the wrong answer.

- TheSmartOne

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

- anonymous

? @TheSmartOne

- anonymous

How is it wrong @TheSmartOne

- TheSmartOne

It's all wrong.

- TheSmartOne

All your work, all the numbers you used.
They are all just wrong.

- anonymous

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

- TheSmartOne

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?

- anonymous

y=kx

- TheSmartOne

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?

- TheSmartOne

The silence is real...

- anonymous

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

- TheSmartOne

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

- anonymous

Im so confused ^_^

- TheSmartOne

@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

- mathmale

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?

- mathmale

Yes or no?

- mathmale

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=?

- anonymous

I still can't tell whose correct

- TheSmartOne

we're all on the same page now :)

- mathmale

@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.

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