Final answer:
The distance traveled by the bicyclist is 9 miles.
Step-by-step explanation:
To find the distance traveled, we can use the formula distance = speed x time. In this case, the speed is given as 12 miles per hour and the time is 45 minutes. However, since the speed is given in miles per hour and the time is given in minutes, we need to convert the time to hours. There are 60 minutes in an hour, so 45 minutes is equal to 45/60 = 0.75 hours.
Now we can substitute the values into the formula: distance = 12 mph x 0.75 hours = 9 miles.
Therefore, the distance traveled by the bicyclist is 9 miles.