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The goals against average (A) for a professional hockey goalie is determined using the formula [tex]A = 60 \left( \frac{g}{t} \right)[/tex]. In the formula, [tex]g[/tex] represents the number of goals scored against the goalie and [tex]t[/tex] represents the time played, in minutes.

Which is an equivalent equation solved for [tex]g[/tex]?
A. [tex]g = \frac{At}{60}[/tex]
B. [tex]\frac{A}{60} = \frac{g}{t}[/tex]
C. [tex]A = \frac{60g}{t}[/tex]
D. [tex]60A = g[/tex]

Sagot :

GinnyAnswer
To solve for [tex]\( g \)[/tex] in the given equation [tex]\( A = 60 \left(\frac{2}{1}\right) \)[/tex]:

1. Start with the given formula for the goals against average:
[tex]\[ A = 60 \left( \frac{2}{1} \right) \][/tex]

2. When determining the correct form of the equation, we want to isolate [tex]\( g \)[/tex].

3. The correct equivalent form of the equation when solved for [tex]\( g \)[/tex] from the given choices is:
[tex]\[ 60 A = 9 \][/tex]

4. Visually, this is equivalent to:
[tex]\[ g = 60 \times A r \][/tex]

Thus, the correct choice is:
[tex]\[ 60 A r = g \][/tex]
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