You are playing a new video game. It says that you have completed 1515 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) It will take minutes to complete the game.

1 answer

To find out how long it will take to complete the video game at the current rate, we can set up the following equation.

Let \( x \) be the total number of minutes needed to complete the game. You've completed 1515 units of the game in 23 minutes. We can use this information to find out how long it will take to complete the entire game.

First, we need to know how many units of the game need to be completed in total, which we denote as \( T \). For this example, we'll assume that the total for a specific game could be represented as a related quantity or additional context, such as levels or goals.

Assuming \( T \) represents the total number of units in the game, we can express the rate of completion as follows:

\[ \text{Rate of completion} = \frac{1515}{23} \]

This rate tells us how many units are completed per minute.

To find the total time needed (\( x \)) to complete \( T \) units of the game, the equation is set up as:

\[ \text{Rate} = \frac{T}{x} \implies \frac{1515}{23} = \frac{T}{x} \]

To isolate \( x \), we can rearrange this equation:

\[ x = \frac{T \cdot 23}{1515} \]

Now we need to know \( T \). Since you don't specify a total units goal \( T \), let's proceed with an example value. Let's assume the total number of units in the game is 2000 units.

Plugging \( T = 2000 \) into the equation gives us:

\[ x = \frac{2000 \cdot 23}{1515} \]

Calculating it:

\[ x = \frac{46000}{1515} \approx 30.34 \text{ minutes} \]

So, at this rate, it will take approximately 30.34 minutes to complete the game if the total units were 2000.

If you have a specific total number of units in the game, you can substitute \( T \) with that value to find the time needed.