Final answer:
The student will have run a total of 36.75 miles for the week after running 2.75 miles each day for 7 days and adding the initial 17.5 miles already run.
Step-by-step explanation:
If the student plans to run 2.75 miles each day for 7 days, we can calculate the total miles run by multiplying 2.75 miles by 7. To find the overall total including the initial 17.5 miles already run, we need to add that to the product of 2.75 and 7. So we compute 2.75 miles/day x 7 days and add 17.5 miles to get the total miles run for the week.
Firstly, let's find the total for running 2.75 miles each day for 7 days:
- 2.75 miles/day x 7 days = 19.25 miles
Now, let's add the initial 17.5 miles:
- 19.25 miles + 17.5 miles = 36.75 miles
Therefore, the student will have run a total of 36.75 miles for the week.