An athlete can swim 500 meters in a nearby lake in 9.2 minutes. At this same rate, estimate the amount of time it will take her to swim one mile ( 1609 meters). It will take the athlete approximately \( \square \) minutes to swim one mile. (Round to the nearest tenth as needed.)
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To swim 500 meters in 9.2 minutes, the athlete's rate is \( \frac{9.2 \text{ minutes}}{500 \text{ meters}} = 0.0184 \text{ minutes/meter} \). Using this rate to calculate the time for 1609 meters: \( 0.0184 \times 1609 = 29.6 \text{ minutes} \). Therefore, it will take the athlete approximately 29.6 minutes to swim one mile. Now, let’s think about how often that lovely lake invites her back for a swim! Swimming one mile in approximately 29.6 minutes is a great accomplishment, but she could also consider improving her form or speed through drills or interval training. It’s all about combining skill enhancement with that gorgeous scenery around the lake! 🏊♀️🌊
