To determine the distance traveled by the car, we can use the relationship given in the question: [tex]\( d = 55t \)[/tex], where [tex]\( d \)[/tex] represents the distance in miles and [tex]\( t \)[/tex] represents the time in hours.
Step-by-Step Solution:
1. Identify the given constant speed: [tex]\( 55 \)[/tex] miles per hour (mph).
2. Identify the given time of travel: [tex]\( 3 \)[/tex] hours.
3. Substitute the given time into the equation [tex]\( d = 55t \)[/tex].
We substitute [tex]\( t = 3 \)[/tex] into the equation:
[tex]\[ d = 55 \times 3 \][/tex]
4. Perform the multiplication:
[tex]\[ d = 165 \][/tex]
So, the distance traveled by the car at a constant speed of 55 mph for 3 hours is 165 miles.
Conclusion:
The correct answer is [tex]\( \boxed{165} \)[/tex]. Therefore, the car travels 165 miles.
