Final answer:
It will take you 10.5 minutes to swim 7 laps.
Step-by-step explanation:
To find out how long it will take to swim 7 laps, we can set up a proportion using the given information. If it takes you 3 minutes to swim 2 laps, then the time it takes to swim 7 laps can be found by setting up the proportion: 3 minutes / 2 laps = x minutes / 7 laps. Cross-multiply and solve for x: 3 * 7 = 2 * x. Simplifying, we get 21 = 2x. Divide both sides by 2 to solve for x, giving us x = 10.5 minutes.
Therefore, it will take you 10.5 minutes to swim 7 laps.