If f(x) varies directly with x and f(x) = 3 when x = 12, then what is the value of f(x) when x = 40?
480
160
10
4
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OpenStudy (thatonegirl_):
The formula for direct variation is y(or f(x)=kx. So plug in what you know into that equation and solve for k. Now that you know k, plug in what you know into f(x)=kx and you can solve for f(x).
OpenStudy (juliebeans):
So f(x)=12(40)
OpenStudy (thatonegirl_):
3=k(12)
3/12=k 1/4=k
f(x)=1/4(40)
f(x)=10
OpenStudy (thatonegirl_):
First you solve for k. Then with the second set of numbers find f(x) now that you know what k is
OpenStudy (thatonegirl_):
Do you get it?
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OpenStudy (juliebeans):
Kinda of thanks
OpenStudy (juliebeans):
so the answer is d?"
OpenStudy (thatonegirl_):
It would be 10
OpenStudy (thatonegirl_):
Do u have another practice problem?
OpenStudy (juliebeans):
Yes :P
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OpenStudy (juliebeans):
Given the function T(z) = 7 – z, find T(–4).
–11
11
-3
3
OpenStudy (thatonegirl_):
Is that \[t(z)=7-z\]
OpenStudy (thatonegirl_):
Since it gives you T(z) is -4, you would just plug that in.
-4=7-z Subtract the 7
-11=z
OpenStudy (juliebeans):
oh
OpenStudy (thatonegirl_):
Is that what you were thinking?
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