To determine how many miles Maura can run in 1.5 hours, we first need to find her running speed in miles per hour.
Maura runs 2.25 miles in 0.5 hours. To find her speed:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{2.25 \text{ miles}}{0.5 \text{ hours}} = 4.5 \text{ miles per hour} \]
Now, we'll use this speed to calculate how far she can run in 1.5 hours:
\[ \text{Distance} = \text{Speed} \times \text{Time} = 4.5 \text{ miles per hour} \times 1.5 \text{ hours} \]
Now calculate:
\[ 4.5 \times 1.5 = 6.75 \text{ miles} \]
Thus, Maura can run 6.75 miles in 1.5 hours.