Final answer:
Yes, the distance Mr. Connors drives to work is proportional to the number of days he works. The relationship is linear with a constant ratio of 11 miles per day, meeting the definition of proportionality.
Step-by-step explanation:
Whether the distance Mr. Connors drives commuting to work is proportional to the number of days he works can be determined by understanding the concept of proportionality. If travelling a certain distance each day to and from work is consistent, then the total distance traveled over several days would be directly proportional to the number of days worked. Proportionality implies that there is a constant ratio or rate (in this case, the distance per day).
In Mr. Connor's situation, since he drives 11 miles each day to and from work, this would mean that on 1 day he drives 11 miles, on 2 days he drives 22 miles (11 miles per day * 2 days), on 3 days 33 miles, and so on. This is an example of a linear relationship with a constant rate of 11 miles per day, meaning the distance is indeed proportional to the number of days worked.
Therefore, if Mr. Connors works for n days, the distance he would have traveled to work is 11 * n miles. Since this is a constant multiple of the number of days, it proves that the distance traveled is proportional to the number of days he works.