A swimming pool is being drained. The number of gallons of water in the pool changes with time t according to the equation G = -4t + 100.
Which equation correctly solves the given equation for t?
A. t = 4G - 100
B.t = -4G + 100
C.t = 100 - G/4
D. t = G - 100/4
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OpenStudy (anonymous):
subtract 100 from G first
OpenStudy (anonymous):
G - 100 = -4t
OpenStudy (anonymous):
Then you want to divide by -4
OpenStudy (anonymous):
OK
OpenStudy (anonymous):
what did you get?
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OpenStudy (anonymous):
-104
OpenStudy (anonymous):
(G-100)/-4 = -4t/-4
OpenStudy (anonymous):
Youre looking for a formula. Not a number
OpenStudy (anonymous):
g=−4t+100
OpenStudy (anonymous):
yes, but they want a formula for t. So we have to solve for t.
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OpenStudy (anonymous):
ok
OpenStudy (anonymous):
To isolate t, we need to move 100 to the other side which gives us G-100 = -4T. How can we move -4 to the other side of the equation.
OpenStudy (anonymous):
-4*t ?
OpenStudy (anonymous):
We want to undo the multiplication -4*t. What undoes multlipication?
OpenStudy (anonymous):
Division
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OpenStudy (anonymous):
ok
OpenStudy (anonymous):
Divide both sides by -4. (G-100)/(-4) = -4t/-4t.
-4/-4=?
OpenStudy (anonymous):
1
OpenStudy (anonymous):
right so you have (G-100)/(-4) = 1*t
OpenStudy (anonymous):
Do you see the answer?
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OpenStudy (anonymous):
a
OpenStudy (anonymous):
We've solved the equation for t
OpenStudy (anonymous):
d
OpenStudy (anonymous):
We can distribute the negative on 4 over G-100 which gives us (100 - G)/4 = t
OpenStudy (anonymous):
b
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