anonymous
  • anonymous
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?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
0487308
  • 0487308
28
anonymous
  • anonymous
Can you explain how you got the answer please?
0487308
  • 0487308
y = \[\frac{ x }{ 4 }\]

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

0487308
  • 0487308
This means that 7 = x/4. Multiply each side my 4, and you get 28.
anonymous
  • anonymous
Side?
0487308
  • 0487308
Side of the equation, with the center of the equation being the equal sign.
0487308
  • 0487308
Do you get it now?
anonymous
  • anonymous
Ya....
anonymous
  • anonymous
@mathmale is 28 right?
0487308
  • 0487308
Who's @mathmale
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
  • 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
  • anonymous
@mathamale Is this correct? y=kx 7=ktimes8 k=8 y=8x y=7times8 y=56
anonymous
  • anonymous
@TheSmartOne
anonymous
  • anonymous
Is the equation correct?
anonymous
  • anonymous
@Mehek14 Is this equation correct? Please scroll to the bottom! :D
anonymous
  • anonymous
Is the answer y=56?
anonymous
  • anonymous
THANK YOU! :D
TheSmartOne
  • TheSmartOne
I believe you have the wrong answer.
TheSmartOne
  • TheSmartOne
I don't know what Mehek is saying, but your answer is absolutely wrong.
anonymous
  • anonymous
? @TheSmartOne
anonymous
  • anonymous
How is it wrong @TheSmartOne
TheSmartOne
  • TheSmartOne
It's all wrong.
TheSmartOne
  • TheSmartOne
All your work, all the numbers you used. They are all just wrong.
anonymous
  • anonymous
Ok no need to rub it in...But can you explain?
TheSmartOne
  • 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
  • anonymous
y=kx
TheSmartOne
  • 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
  • TheSmartOne
The silence is real...
anonymous
  • anonymous
Ummmm...Can you tell me what you mean by substitute? @TheSmartOne
TheSmartOne
  • TheSmartOne
You're doing it all wrong @mathmale -.-
anonymous
  • anonymous
Im so confused ^_^
TheSmartOne
  • 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
  • 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
  • mathmale
Yes or no?
mathmale
  • 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
  • anonymous
I still can't tell whose correct
TheSmartOne
  • TheSmartOne
we're all on the same page now :)
mathmale
  • 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.

Looking for something else?

Not the answer you are looking for? Search for more explanations.