To find the distance from Luis's school to his home, we can use the formula for distance:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
Given that Luis's average speed is 15 miles per hour and it took him 0.5 hours to get home, we can substitute these values into the formula:
\[ \text{Distance} = 15 , \text{miles per hour} \times 0.5 , \text{hours} \]
Calculating the distance:
\[ \text{Distance} = 15 \times 0.5 = 7.5 , \text{miles} \]
Therefore, the distance from Luis's school to his home is 7.5 miles.