Short-track 500-m speed skating became a Winter Olympic event in 1994, and Chae Ji-Hoon of Korea won the event that year with a time of 43.45 seconds. In 2010, Charles Hamelin from Canada won the event with a time of 40.981 seconds. Find a formula for the predicted winning time in the 500-m speed-skating event as a function of the number of years since 1994, and predict the winning time in 2018, if we assume the decrease in time is(a) LinearRound all answers and constants to five decimal places. If W, the winning time after t years since 1994 is a linear function of t, then W= , and the expected winning time by 2018 will be seconds. (b) ExponentialRound all answers and constants to five decimal places. If W, the winning time after t years since 1994 is an exponential function of t, then W= , and the expected winning time by 2018 will be seconds.
Short-track 500-m speed skating became a Winter Olympic event in 1994, and Chae Ji-Hoon of Korea won the event that year with a time of 43.45 seconds. In 2010, Charles Hamelin from Canada won the event with a time of 40.981 seconds. Find a formula for the predicted winning time in the 500-m speed-skating event as a function of the number of years since 1994, and predict the winning time in 2018, if we assume the decrease in time is
(a) Linear
Round all answers and constants to five decimal places.
If W, the winning time after t years since 1994 is a linear function of t, then W= , and the expected winning time by 2018 will be seconds.
(b) Exponential
Round all answers and constants to five decimal places.
If W, the winning time after t years since 1994 is an exponential function of t, then W= , and the expected winning time by 2018 will be seconds.
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