Final answer:
To find how many minutes it takes the athlete to run 1 mile, we can set up a proportion using the given information about the athlete's speed. Using this proportion, we find that it takes the athlete approximately 0.1333 minutes, or about 8 seconds, to run 1 mile.
Step-by-step explanation:
To find how many minutes it takes the athlete to run 1 mile, we can use the given information about the athlete's speed.
Since the athlete runs 1 mile in 7.5 minutes, we can set up a proportion. The athlete's speed is 1 mile/7.5 minutes, so we can say that the time it takes to run 1 mile is x minutes/1 mile.
Using the proportion, we have 1/7.5 = x/1. Cross-multiplying, we get x = 1/7.5 = 0.1333 (rounded to 4 decimal places). Therefore, it takes the athlete approximately 0.1333 minutes, or about 8 seconds, to run 1 mile.
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