Can someone please help me understand ?

Mathematics
Tutor: None Selected Time limit: 1 Day

The world record time for a certain swimming event was 63.2 seconds in 1950. Each year thereafter, the world record time decreased by 0.4 second.

(a) Use a formula to express the world record time as a function of the time since 1950. (Let t be the time in years since 1950 and R the record time in seconds.)
R = 
 

(b) Express using functional notation the world record time in the year 1975.
R
  


Calculate the world record time in the year 1975.
 sec 
Sep 10th, 2015

Thank you for the opportunity to help you with your question!

a) world record timing for 1965 R0=63.2 s

   thereafter world record decreases 0.4 each year.

hence,

 R=R0-0.4t

where t is the years since 1950


R=63.2-0.4t




b) in 1975 t=1975-1950 =25

R=63.2-0.4*25



c)R=63.2-10

   =52.2 s



Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 10th, 2015

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