Solve the problem.
-If the 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 48.6 seconds or less?
A) 1967 or after
B) 1966 or after
C) 1965 or after
D) 1941 or after

Question

Quizplus · Accepted Answer

To find the years when the world records will be 48.6 seconds or less, we set the formula equal to 48.6 and solve for t: 48.6 = -0.037t + 50.1. Rearranging gives 0.037t = 50.1 - 48.6, which simplifies to 0.037t = 1.5. Dividing both sides by 0.037 gives t ≈ 40.54. Since t is the number of years after 1925, we add this to 1925 to get 1925 + 40.54 ≈ 1965.54. Since we're looking for full years, the world records would be 48.6 seconds or less starting in the year after 1965.54, which is 1966 or after.

Solve the Problem. -If the Formula R = -0.037t + 50.1 Can Be