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Question
the goals against average (a) for a professional hockey goalie is determined using the formula (a = 60 left(\frac{g}{t}
ight)). in the formula, (g) represents the number of goals scored against the goalie and (t) represents the time played, in minutes.
which is an equivalent equation solved for (g)?
(\bigcirc \frac{at}{60} = g)
(\bigcirc \frac{a}{60t} = g)
(\bigcirc \frac{60a}{t} = g)
(\bigcirc 60at = g)
Isolate the fraction term
Divide both sides of the equation by \(60\):
$$
\frac{A}{60} = \frac{g}{t}
$$
Solve for g
Multiply both sides of the equation by \(t\):
$$
g = \frac{At}{60}
$$
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- (A) \(\frac{At}{60} = g\) (Correct answer)
- (B) \(\frac{A}{60t} = g\)
- (C) \(\frac{60A}{t} = g\)
- (D) \(60At = g\)