11. Higher Order Thinking Mark is training for a min triathlon. He rode his bike \( \frac{3}{4} \) mile, ran \( \frac{2}{4} \) mile, and swam \( \frac{1}{4} \) mile each day. How does the distance he biked in 3 days compare to the distance he swam in 3 days? In 5 days? In 6 days? Why?

In 3 days, Mark biked \( \frac{3}{4} \) mile per day, totaling \( \frac{3}{4} \times 3 = \frac{9}{4} \) miles biked. For swimming, he swam \( \frac{1}{4} \) mile per day, totaling \( \frac{1}{4} \times 3 = \frac{3}{4} \) miles. So after 3 days, Mark biked \( \frac{9}{4} \) miles, which is significantly more than the \( \frac{3}{4} \) miles he swam. If we consider 5 days, he biked \( \frac{3}{4} \times 5 = \frac{15}{4} \) miles, and swam \( \frac{1}{4} \times 5 = \frac{5}{4} \) miles. Again, the biking distance far exceeds the swimming distance. In 6 days, the pattern continues: biking \( \frac{3}{4} \times 6 = \frac{18}{4} \) miles and swimming \( \frac{1}{4} \times 6 = \frac{6}{4} \) miles. The biking distance always remains higher because he bikes more distance each day compared to the swimming. The consistent ratio of biking to swimming distances showcases how his triathlon training is structured to increase biking strength while maintaining a balanced overall fitness regimen!