Ifthe formula R = -0.037t + 50.1 can be used to predict the world record in the 400 meter dash t years after 1925, for what years will the world records be 48.1 seconds or less?
To find the years for which the world records will be 48.1 seconds or less, we need to substitute the value of R as 48.1 in the given formula and solve for t.
The formula given is:
R = -0.037t + 50.1
Substituting R as 48.1, we get:
48.1 = -0.037t + 50.1
Now, let's solve this equation to find the value of t:
48.1 - 50.1 = -0.037t
-2 = -0.037t
Dividing both sides by -0.037, we get:
t = -2 / -0.037
t ≈ 54.054
Therefore, the value of t is approximately 54.054 years.
To determine the specific years, we need to add this value to 1925 (the base year given in the question):
t + 1925 = 54.054 + 1925 = 1979.054
Therefore, the years for which the world records will be 48.1 seconds or less are approximately 1979 or any subsequent years.