Question

Okay I know I have seen something similar to this before but I think the specifics were a bit different.

In 1920, the record for a race was 45.4 sec. In 1980, it was 44.2 sec. Let R(t) = the record in the race and t+ the nbr of years since 1920.

What is R(t) =?
What is the predicted record for 2003? 2006? And in what year will the predicted record be 43.64 seconds? I think the year is 2017 but I am not sure. Please help.

Answer 1

What method did you use to get an answer of 43.64?

Answer 2

(Because i dont know what type of function Im supposed to use, linear, exponential, etc.)

Answer 3

That was part of the question. It was "find the year when the record will be 43.64."

Answer 4

Did I leave something out maybe?

Answer 5

oh oh, my bad, i meant 2017. did you use a function that looked like this?
\[P = Ae^{kt}\]
or no?

Answer 6

no

Answer 7

oh no it was 2003 and 2006....maybe it was a typo on my part.

Answer 8

oh NO!!! 2017 was MY prediction for when it may be 43.64. I was guessing.

Answer 9

sorry for the confusion.

Answer 10

its fine. Im just a little confused as to what type function I should make my guess. If its not exponential like i posted earlier, i want to say its linear. But that doesnt make any sense with the type of problem. If it was linear, then there would be a year where record is 0.00 secs, which doesnt make any sense.
What is this chapter about? What type of functions?

Answer 11

Should I post the question again? Maybe I didn't type it right.