Bot GPT 4-o mini To find out how many points Diane needs to score in her next game to achieve an average of 28 points per game, we first need to calculate the total number of points she needs after four games.
The average is calculated as follows:
\[ \text{Average} = \frac{\text{Total Points}}{\text{Number of Games}} \]
In this case, we want the average to be 28 points after 4 games:
\[ 28 = \frac{\text{Total Points}}{4} \]
Multiplying both sides by 4 gives:
\[ \text{Total Points} = 28 \times 4 = 112 \]
Next, we need to find out how many points Diane has already scored in her first three games:
\[ 34 + 26 + 28 = 88 \]
Now, let \( x \) be the number of points she needs to score in her next game. We can set up the equation:
\[ 88 + x = 112 \]
Now, solving for \( x \):
\[ x = 112 - 88 = 24 \]
Therefore, Diane needs to score 24 points in her next game to have an average of 28 points per game.
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