Answered

The goals against average [tex]\(A\)[/tex] 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]\(\frac{A}{60} = g\)[/tex]
B. [tex]\(\frac{A}{601} = g\)[/tex]
C. [tex]\(\frac{60A}{t} = g\)[/tex]
D. [tex]\(604t = g\)[/tex]



Answer :

GinnyAnswer
To solve the equation [tex]\( A = 60 \left(\frac{g}{t}\right) \)[/tex] for [tex]\( g \)[/tex], we follow these steps:

1. Start with the original equation:
[tex]\[ A = 60 \left(\frac{g}{t}\right) \][/tex]

2. Isolate the term with [tex]\( g \)[/tex] on one side:
Multiply both sides of the equation by [tex]\( t \)[/tex] to get rid of the fraction.
[tex]\[ A \cdot t = 60 \cdot g \][/tex]

3. Solve for [tex]\( g \)[/tex]:
Divide both sides of the equation by 60 to isolate [tex]\( g \)[/tex].
[tex]\[ g = \frac{A \cdot t}{60} \][/tex]

Thus, the equivalent equation solved for [tex]\( g \)[/tex] is:
[tex]\[ g = \frac{60 A}{t} \][/tex]

This matches the option:
[tex]\[ \boxed{\frac{60 A}{t}=g} \][/tex]