Final answer:
Using a proportion based on her known speed, Jessie can swim 214.3 meters in 5 minutes.
Step-by-step explanation:
Jessie can swim 75 meters in 1 3/4 minutes or 1.75 minutes. To find out how far she can swim in 5 minutes, we can set up a proportion where the distance she can swim is directly proportional to the time she swims. So, we calculate the distance d for 5 minutes using the unitary method:
- First, find the distance she swims in one minute: 75 m / 1.75 min = 42.86 m/min.
- Then, multiply this by the number of minutes we're interested in, which is 5 minutes: 42.86 m/min * 5 min = 214.3 m.
Jessie can swim 214.3 meters in 5 minutes.