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OpenStudy (emmynimmy):
OpenStudy (mathmale):
You need to write a "direct proportion" formula. It will have the form y=kx, where "k" is your "constant of proportionality."
OpenStudy (emmynimmy):
Would it be B? It timed.
OpenStudy (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.
OpenStudy (mathmale):
f(x) = 2 = k*(16). find k, please.
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OpenStudy (emmynimmy):
I have no idea.
OpenStudy (mathmale):
2=16k; find k.
Or: 16k=2; find k. Hint: divide both sides of the equation by 16.
OpenStudy (mathmale):
\[16 k=2\]
OpenStudy (emmynimmy):
1=1
so k = 1?
OpenStudy (mathmale):
\[\frac{ 16k }{ 16 }=\frac{ 2 }{ 16 }\]
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OpenStudy (mathmale):
Please simplify this. No, k does not have the value 1. Sorry
OpenStudy (emmynimmy):
1 = .0125
OpenStudy (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.
OpenStudy (mathmale):
common sense tells you that 1 does not equal 0.0125.
OpenStudy (emmynimmy):
Obviously.
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OpenStudy (mathmale):
Then, either k=0.0125, or k=1/8
OpenStudy (emmynimmy):
I just mean that thats what i got after.
OpenStudy (anonymous):
*0.125
OpenStudy (mathmale):
then your equation is y = (1/8) x.
OpenStudy (mathmale):
Note that MysticalFlames is correct.
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OpenStudy (emmynimmy):
ohh okay so x would be 8?
OpenStudy (anonymous):
Yep
OpenStudy (mathmale):
Substitute x=4 into the equation above.
OpenStudy (mathmale):
let x=4. If y=(1/8)x, what is y?
OpenStudy (emmynimmy):
okay i have another problem,
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OpenStudy (mathmale):
Please, finish this one.
OpenStudy (mathmale):
what is y = (1/8)*(4)?
OpenStudy (emmynimmy):
32?
OpenStudy (mathmale):
Does 4/8 = 32?
OpenStudy (mathmale):
Reduce 4/8
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OpenStudy (mathmale):
Thus, if x=4, y=4/8 = 1/2
OpenStudy (emmynimmy):
u said 1 divided by 8
OpenStudy (emmynimmy):
which is 8. and 8 times 4 is 32
OpenStudy (anonymous):
wait what nvm
OpenStudy (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
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OpenStudy (anonymous):
^^
OpenStudy (emmynimmy):
okay thanks.
OpenStudy (mathmale):
You're welcome.
OpenStudy (anonymous):
There's no option for 0.5
OpenStudy (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.