Final answer:
The total distance run by the marathon runner is 20.723 miles, which should be reported as 20.7 miles to match the precision of the measurements given. The correct answer is option b. The question regarding Lacey and Mason's run lacks enough detail to be answered.
Step-by-step explanation:
The student's question seems to be missing some context or an attachment that provides details about a ratio or relationship between Lacey and Mason's run distances. However, based on the information given, we can tackle the provided marathon runner's question instead.
To determine the total distance run by a marathon runner who travels different lengths in various directions, we would simply sum up all the distances:
- First direction: 9.5 miles
- Second direction: 8.89 miles
- Third direction: 2.333 miles
Adding these distances together, we get:
Total distance = 9.5 miles + 8.89 miles + 2.333 miles = 20.723 miles
When we report this number with the proper number of significant figures, which are based on the least precise measurement (8.89 miles has three significant figures), we would round the total distance to three significant figures:
20.7 miles (3 significant figures)
Therefore, the correct answer to the marathon runner's question is 20.7 miles, which corresponds to option b.