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Mathematics 18 Online
OpenStudy (emmynimmy):

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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.

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):

\[\frac{ 16k }{ 16 }=\frac{ 2 }{ 16 }\]

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.

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.

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,

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

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

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.

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