Question

A) You are playing a new video game. It says that you have completed of the game. You have played
for 23 minutes. Write and solve an equation to find how long it will take to complete your video game at
this rate. (1 point)

Answer 1

Let's denote the total time required to complete the game as \( T \) minutes. According to the problem, you have completed a certain fraction of the game in 23 minutes.

Assuming you have completed \( x \) percent of the game in 23 minutes, we can express this as a fraction:

\[
\frac{x}{100} = \frac{23}{T}
\]

From this equation, we can solve for \( T \):

1. Rearranging gives us:

\[
x \cdot T = 2300
\]

2. Then, we can isolate \( T \):

\[
T = \frac{2300}{x}
\]

Now the total time \( T \) to complete the game depends on what fraction \( x \) is.

If we assume the game is 100% complete, then \( x = 100 \):

\[
T = \frac{2300}{100} = 23
\]

In this specific concrete case, if you have completed 100% of the game:

If \( x \) is specified (e.g., the game is completed, let's say you have completed 25% of the game):

1. \( T = \frac{2300}{25} = 92 \)

Hence, if you completed \( x \)% of the game in 23 minutes, you can determine how long the entire game will take by substituting the value of \( x \).

To summarize, the total time \( T \) can be calculated by knowing the percentage \( x \) of the game completed so far.