One yardstick for measuring how steadily—if slowly— athletic performance has improved is the mile run. In 1954, Roger Bannister of Britain cracked the 4-minute mark, setting the record for running a mile in 3 minutes, 59.4 seconds, or 239.4 seconds. In the half-century since then, the record has decreased by 0.3 second per year. a. Express the record time for the mile run, M, as a function of the number of years after 1954, x. b. If this trend continues, in which year will someone run a 3-minute, or 180-second, mile?
Unitary Method
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One yardstick for measuring how steadily—if slowly— athletic performance has improved is the mile run. In 1954, Roger Bannister of Britain cracked the 4-minute mark, setting the record for running a mile in 3 minutes, 59.4 seconds, or 239.4 seconds. In the half-century since then, the record has
decreased by 0.3 second per year.
a. Express the record time for the mile run, M, as a function of the number of years after 1954, x.
b. If this trend continues, in which year will someone run a 3-minute, or 180-second, mile?
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