Question: In 1958, L. Lucy developed a method for predicting the world record for any given year that a humancould run a distance of 1 mile.

In 1958, L. Lucy developed a method for predicting the world record for any given year that a humancould run a distance of 1 mile. His formula is given as follows:t(n)=218+31(0.933)n,where t(n) is the world record (in seconds) for the mile run in year 1950+ n. Thus, n =5 correspondsto the year 1955. Source: Statistics in Sports.a. Find the estimate for the world record in the year 2011.b. Calculate the instantaneous rate of change for the world record at the end of year 2011 andinterpret your answer.c. Find limn t(n) and interpret. How does this compare to the current world record (look it up andinclude it in your solution)?

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