To determine the average points per game, you can use the formula:
\[ \text{Average points per game} = \frac{\text{Total points scored}}{\text{Total games played}} \]
In this case, you scored a total of 150 points over 5 games.
Substituting in the values:
\[ \text{Average points per game} = \frac{150 \text{ points}}{5 \text{ games}} = 30 \text{ points per game} \]
So, the average points per game is 30 points.