Sure! Let's walk through the solution step-by-step.
1. Identify the Given Values:
- Initial game-play time: 80 minutes.
- Initial total practice time: 100 minutes.
2. Calculate the initial ratio between total practice time and game-play time:
The initial ratio is given by:
[tex]\[
\text{Ratio} = \frac{\text{Total Practice Time Prior}}{\text{Game-Play Time Prior}} = \frac{100}{80} = 1.25
\][/tex]
3. Use the ratio to find the new total practice time when the game-play time is 72 minutes:
We use the calculated ratio to find the new total practice time. Let [tex]\( x \)[/tex] represent the new total practice time. We can set up the equation based on the ratio:
[tex]\[
\frac{x}{72} = 1.25
\][/tex]
Solving for [tex]\( x \)[/tex] gives:
[tex]\[
x = 72 \times 1.25 = 90
\][/tex]
Therefore, the new total practice time is 90 minutes.
4. Complete the Table:
[tex]\[
\begin{array}{|c|c|}
\hline
\text{Game-Play Time (min)} & \text{Total Practice Time (min)} \\
\hline
80 & 100 \\
\hline
72 & 90 \\
\hline
\end{array}
\][/tex]
In summary:
- The initial ratio between total practice time and game-play time is [tex]\( 1.25 \)[/tex].
- When the game-play time is 72 minutes, the equivalent total practice time is 90 minutes.
Using this method, we successfully completed the table with the values calculated.
