emmynimmy
  • emmynimmy
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Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
emmynimmy
  • emmynimmy
mathmale
  • mathmale
You need to write a "direct proportion" formula. It will have the form y=kx, where "k" is your "constant of proportionality."
emmynimmy
  • emmynimmy
Would it be B? It timed.

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mathmale
  • mathmale
"f(x) varies directly with x and f(x)=2 when x=16" Write y=f(x)=k*x. Then substitute the knowns: Subst. 2 for f(x) and 16 for x. What is k? I understand that you're under time pressure, but it's very important to me that you understand the principles involved.
mathmale
  • mathmale
f(x) = 2 = k*(16). find k, please.
emmynimmy
  • emmynimmy
I have no idea.
mathmale
  • mathmale
2=16k; find k. Or: 16k=2; find k. Hint: divide both sides of the equation by 16.
mathmale
  • mathmale
\[16 k=2\]
emmynimmy
  • emmynimmy
1=1 so k = 1?
mathmale
  • mathmale
\[\frac{ 16k }{ 16 }=\frac{ 2 }{ 16 }\]
mathmale
  • mathmale
Please simplify this. No, k does not have the value 1. Sorry
emmynimmy
  • emmynimmy
1 = .0125
mathmale
  • mathmale
Reduce 16/16 by division. Similarly, reduce 2/16 by div. On the left side you have the constant k. What you want to do is to write 1k=0.0125.
mathmale
  • mathmale
common sense tells you that 1 does not equal 0.0125.
emmynimmy
  • emmynimmy
Obviously.
mathmale
  • mathmale
Then, either k=0.0125, or k=1/8
emmynimmy
  • emmynimmy
I just mean that thats what i got after.
anonymous
  • anonymous
*0.125
mathmale
  • mathmale
then your equation is y = (1/8) x.
mathmale
  • mathmale
Note that MysticalFlames is correct.
emmynimmy
  • emmynimmy
ohh okay so x would be 8?
anonymous
  • anonymous
Yep
mathmale
  • mathmale
Substitute x=4 into the equation above.
mathmale
  • mathmale
let x=4. If y=(1/8)x, what is y?
emmynimmy
  • emmynimmy
okay i have another problem,
mathmale
  • mathmale
Please, finish this one.
mathmale
  • mathmale
what is y = (1/8)*(4)?
emmynimmy
  • emmynimmy
32?
mathmale
  • mathmale
Does 4/8 = 32?
mathmale
  • mathmale
Reduce 4/8
mathmale
  • mathmale
Thus, if x=4, y=4/8 = 1/2
emmynimmy
  • emmynimmy
u said 1 divided by 8
emmynimmy
  • emmynimmy
which is 8. and 8 times 4 is 32
anonymous
  • anonymous
wait what nvm
mathmale
  • mathmale
I can give y ou only 4-5 minutes more, since I have a 5 p.m. commitment. No... (1/8)*4 is 4/8 = 1/2. In decimal fractions, (0.125)*4 = 1/2
anonymous
  • anonymous
^^
emmynimmy
  • emmynimmy
okay thanks.
mathmale
  • mathmale
You're welcome.
anonymous
  • anonymous
There's no option for 0.5
mathmale
  • mathmale
Would you two please work together to find the correct answer, if 1/2 is not correct. As explained a few minutes ago, I need to get off the 'Net.

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