To determine how many pages Dan can complete in 200 minutes, we can follow a method using unit rates.
Step 1: Determine the unit rate
- We know it takes Dan 32 minutes to complete 2 pages of homework.
- To find the time it takes for Dan to complete 1 page, we divide the total time by the number of pages:
[tex]\[
\text{Minutes per page} = \frac{32 \text{ minutes}}{2 \text{ pages}} = 16 \text{ minutes per page}
\][/tex]
Step 2: Calculate the number of pages Dan can complete in 200 minutes
- Now that we know it takes 16 minutes per page, we can determine how many pages Dan can complete in 200 minutes by dividing the total time by the unit rate:
[tex]\[
\text{Pages completed} = \frac{200 \text{ minutes}}{16 \text{ minutes per page}} = 12.5 \text{ pages}
\][/tex]
Therefore, at this rate, Dan can complete 12.5 pages of math homework in 200 minutes.
