To determine how long it will take to complete the game at the current rate, we can set up a proportional equation.
Let \( x \) be the total time in minutes it will take to complete the entire game.
We know:
- You have completed 15% of the game in 23 minutes.
From this, we can set up a proportion:
\[
\frac{15}{100} = \frac{23}{x}
\]
Now, we can cross-multiply to solve for \( x \):
\[
15x = 23 \times 100
\]
Calculating \( 23 \times 100 \):
\[
23 \times 100 = 2300
\]
So the equation becomes:
\[
15x = 2300
\]
Next, we will divide both sides by 15 to isolate \( x \):
\[
x = \frac{2300}{15}
\]
Now, we perform the division:
\[
x = 153.33 \text{ minutes}
\]
So, it will take approximately **153.33 minutes** to complete the game at the current rate.