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]\( \frac{A t}{60} = g \)[/tex] B. [tex]\( \frac{A}{60 t} = g \)[/tex] C. [tex]\( \frac{60 A}{t} = g \)[/tex] D. [tex]\( 60 A t = g \)[/tex]
Certainly! Let's solve the given equation [tex]\( A = 60 \left( \frac{g}{t} \right) \)[/tex] for [tex]\( g \)[/tex] step-by-step.
1. Write down the given formula:
[tex]\[
A = 60 \left( \frac{g}{t} \right)
\][/tex]
2. Multiply both sides of the equation by [tex]\( t \)[/tex] to isolate [tex]\( g \)[/tex] on one side. This step helps us get rid of the denominator [tex]\( t \)[/tex]:
[tex]\[
A \cdot t = 60 \cdot g
\][/tex]
3. Divide both sides of the equation by 60 to solve for [tex]\( g \)[/tex]:
[tex]\[
g = \frac{A \cdot t}{60}
\][/tex]
So, the equivalent equation solved for [tex]\( g \)[/tex] is:
