Question

(a) Use a formula to express the world record time as a function of the time since 1950. (Lett 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 1957.R(________)Calculate the world record time in the year 1957._______sec

Answer 1

A) the record time is 63.2 sec

each year decreas 0.4 sec

after 1 year it will be 63.2 - 0.4

after 2 years will be 63.2 - 0.4 * 2

so, the formula will be 63.2 - 0.4 t

where t is the number of years

so, ( R = 63.2 - 0.4 * t )

B) the world record time in the year 1957

so, t = 1957 - 1950 = 7

so, R = 63.2 - 0.4 * 7 = 63.2 - 2.8 = 60.4 sec