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Each one of these dimensional analysis problems takes about 1.5 minutes to complete. If we as a class did nothing but these problems during class time, how many problems could a single student complete in 6 weeks?

Assume that we as a class meet for 220 minutes each week.

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Answer:

To determine the number of problems a single student could complete in 6 weeks, we need to calculate the total number of minutes available for problem solving and then divide it by the time required to complete each problem.

Given:

- Each dimensional analysis problem takes about 1.5 minutes to complete.

- The class meets for 220 minutes each week.

- There are 6 weeks in total.

First, we calculate the total number of minutes available for problem solving in 6 weeks:

Total minutes = Minutes per week × Number of weeks

Total minutes = 220 minutes/week × 6 weeks

Total minutes = 1320 minutes

Next, we divide the total minutes available by the time required to complete each problem to find the number of problems a single student could complete:

Number of problems = Total minutes / Time per problem

Number of problems = 1320 minutes / 1.5 minutes/problem

Number of problems ≈ 880

Therefore, a single student could complete approximately 880 problems in 6 weeks.

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