To find the distance from Kara's college to her home, you can use the formula for distance:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
Given:
- Speed = 65 miles per hour
- Time = 4.5 hours
Now, let's calculate the distance:
\[ \text{Distance} = 65 , \text{mph} \times 4.5 , \text{h} \]
Calculating that:
\[ \text{Distance} = 65 \times 4.5 = 292.5 , \text{miles} \]
So Kara's college is 292.5 miles from her home.
To check the solution, you can reverse the calculation:
- Take the distance (292.5 miles) and divide by the speed (65 mph) to see if you get back the time (which should be 4.5 hours).
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{292.5 , \text{miles}}{65 , \text{mph}} = 4.5 , \text{hours} \]
Since the calculations check out, the distance from Kara's college to her home is indeed 292.5 miles.